{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%config InlineBackend.figure_formats = ['retina']\n",
    "plt.rc('font', size=12)\n",
    "plt.style.use('seaborn-darkgrid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 1. load the stock returns data.\n",
    "series = pd.read_csv('stock_returns.csv')\n",
    "returns = series.values[:1000]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 19998 entries, 0 to 19997\n",
      "Data columns (total 1 columns):\n",
      "0    19998 non-null float64\n",
      "dtypes: float64(1)\n",
      "memory usage: 156.3 KB\n"
     ]
    }
   ],
   "source": [
    "series.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lp6crKyvL4z0SEhKUm5urBQsWaOrUqRo3bpyio6NVXl6uiooKRUdH6+mnn3bfXQcAAAAIdiFOp9NpxY7a2tpUXFysjRs36r333lNbW5s+//nP64477lB2drbHQ50k6d///rfWr1+vjRs36tixY5KkpKQkfec731FmZqbXUP7WW29p9erV2r9/vxoaGhQbG6tbb71Vc+bMcV9oezFqa+sv3OgKxy2trEMtrRMItXTdZmzw/BK/HUNPO553pyQ+O70JhPMyWFBL61BLawXqrSktC/Om4QvpwvgQsA61tE4g1JIwj88KhPMyWFBL61BLawVqmGdNCgAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKJsvnd944w19//vfv2C7J554Qvfee6/Ha+fOnVNRUZFKSkr0/vvvy+l0KjExUZMmTdK0adPUu3fvTve1e/duFRYW6uDBg6qvr1d0dLRSU1M1e/ZsJSQk+DIcAAAAwCg+hXmXa6+9Vunp6V63Dx061OPfHQ6HHnjgAZWVlSkuLk4ZGRmSpNLSUi1dulTbt29Xfn6++vTp49GvsLBQTz31lOx2u2655RbFxMToyJEj2rBhgzZv3qz8/HyNHDnSiiEBAAAAAc+SMJ+QkKDHH3/8otuvXLlSZWVlSktL04oVK9yz8A0NDZoxY4b27dun5557TnPnznX3OXz4sJYsWaLIyEitW7fO4wdCQUGB8vLyNG/ePJWUlHid1QcAAACCSY+vmXc4HCouLpbNZlNubq5H8I6IiNCiRYskSUVFRWpqanJvW7NmjVpbWzVr1qwOM/3Tp0/XsGHDVFVVpS1btvTMQAAAAAA/6/Ewv3PnTjkcDqWkpCguLq7D9uHDhys+Pl6NjY3atWuXJMnpdGrbtm2S5HU5z4QJEyRJW7du7aYjBwAAAAJLj4f5iooKSVJycrLXNq5tlZWVkqSTJ0+qvr5e4eHhXi9yHTFihEcfAAAAINhZsmZekurr67V9+3YdO3ZMbW1tio+PV1pamq699lqPdtXV1ZKk2NhYr/tyzdgfP35cklRVVeXxemdc+6upqVFLS4tCQ0MveywAAACACSwJ80ePHlVaWpoaGxs9Xg8NDdWsWbP00EMPuV9raGiQJIWHh3vdX1hYmCS593cpfVz9oqKiujzmqKiwLrdDstna/3BDrXxHLa1DLf2LuneO89I61NI61NJagVpPS5bZNDQ0aNq0adqyZYvKy8v197//XTNmzJDT6dSzzz6r1atXu9u6Lmrtaubcbrd7tL2UPue3BwAAAIKZTzPzycnJ+tOf/qSoqCjFx8e7X4+Li9O8efMUGRmpZ555Rr/+9a81bdo09e3bV3379pUktbS0eN1vc3OzJLnvM38pfc7v15W6OscF21zpXL88qZXvqKV1AqGWMTGRfntvf+Mc7lwgnJfBglpah1pa63Lr2d3fGT7NzEdEROhLX/qSR5A/X05Ojvr06aPGxkYdOHBA0qdLZT67JOd8rmU1kZGR7ve5UB/XtpCQkC6X4wAAAADBolvvZmO32xUTEyNJ+vjjjyVJiYmJkqRTp0557VdTU+PRdvDgwRfs47qwNj4+notfAQAAcEXwOcw7nU45nU6v2+rq6iRJV199taRPbyF56NAhr/s8ePCgJCklJUWSNHDgQPXv318Oh0PvvvvuRfUBAAAAgp1PYT47O1spKSnatGlTp9t37Nih+vp62Ww23XjjjZKk1NRU9evXTxUVFTp58mSHPnv27FFtba0GDBig0aNHu193PSzq5Zdf7tCnra3N/frEiRN9GRIAAABgDJ/C/Fe/+lU1NzcrLy/PfU94l9OnT2vx4sWSpMzMTPfMvN1uV3Z2ttra2rRw4UKPO8/U1dW5+8yePVs226fX5+bk5Cg0NFQFBQXuB0+5LF++XNXV1UpOTtb48eN9GRIAAABgDJ/uZjNz5kzt2bNHe/fu1aRJk3TrrbfqmmuuUW1trUpLS3X27FmNGjVK8+fP79DvwIEDKi0tVUZGhlJTU9Xa2qodO3bozJkzSk9PV1ZWlkefhIQE5ebmasGCBZo6darGjRun6OholZeXq6KiQtHR0Xr66afVq1ePP9QWAAAA8Aufwnzv3r21Zs0a/eEPf9Bf//pXvfHGG2psbFRkZKRuvPFGffvb39a3v/1tXXXVVR797Ha7Vq1apfXr12vjxo3uZTpJSUmaO3euMjMzOw3lmZmZGjJkiFavXq39+/eroaFBsbGxysrK0pw5cxQdHe3LcAAAAACjhDi9Xb0a5Gpr6/19CAGP+9Nah1paJxBq6bpn8OD5JX47hp52PO9OSXx2ehMI52WwoJbWoZbWCsr7zAMAAADwH8I8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYCjCPAAAAGAowjwAAABgKMI8AAAAYKhuC/Ovvvqqhg4dqqFDh+qNN97osP3cuXPKz8/XPffco5EjR+qmm27S5MmTlZ+fr3Pnznnd7+7duzVnzhyNGTNGI0aM0K233qrHHntMJ06c6K6hAAAAAAGpW8L8J598op/+9KdetzscDmVnZ2vp0qU6c+aMMjIydMcdd6i2tlZLly5VTk6OmpqaOvQrLCxUdna2du3apZEjRyozM1OxsbHasGGDJk+erAMHDnTHcAAAAICAZOuOnS5evFgffvih+vfvr3/9618dtq9cuVJlZWVKS0vTihUr1Lt3b0lSQ0ODZsyYoX379um5557T3Llz3X0OHz6sJUuWKDIyUuvWrdPQoUPd2woKCpSXl6d58+appKTEvT8AAAAgmFk+M//aa6/pxRdf1IQJE3TDDTd02O5wOFRcXCybzabc3FyP4B0REaFFixZJkoqKijxm59esWaPW1lbNmjXLI8hL0vTp0zVs2DBVVVVpy5YtVg8JAAAACEiWhvn6+notXLhQ/fr104IFCzpts3PnTjkcDqWkpCguLq7D9uHDhys+Pl6NjY3atWuXJMnpdGrbtm2SpPT09E73O2HCBEnS1q1brRgKAAAAEPAsDfNPPfWUTp8+rfnz5+vaa6/ttE1FRYUkKTk52et+XNsqKyslSSdPnlR9fb3Cw8OVkJDQaZ8RI0Z49AEAAACCnWVhfseOHfrzn/+ssWPHKjMz02u76upqSVJsbKzXNq4Z++PHj0uSqqqqPF7vjGt/NTU1amlpuaRjBwAAAExkyQWwDQ0N+ulPf6qIiAg9+eSTF2wrSeHh4V7bhIWFSZIaGxsvuY+rX1RUVJfHERUV1uV2SDZb+289auU7amkdaulf1L1znJfWoZbWoZbWCtR6WjIzn5eXpw8++EAPP/xwl7PnktwXtYaGhnptY7fbPdpeSp/z2wMAAADBzOeZ+V27dumPf/yjxowZoylTplywfd++fSWpy6Uwzc3NkqQ+ffpccp/z+3Wlrs5xwTZXOtcvT2rlO2ppnUCoZUxMpN/e2984hzsXCOdlsKCW1qGW1rrcenb3d4ZPM/MNDQ1asGCBwsPDL7i8xsW1VMa1hMbbfiUpMrJ98BERERfs49oWEhLS5XIcAAAAIFj4NDO/fv16nTp1SvHx8Vq6dGmH7UePHpUkrVixQuvWrdPNN9+sxMRESdKpU6e87rempkaS3G0HDx58wT6uC2vj4+O7XI4DAAAABAufwvzZs2cltd9txnXHmc7s3btXUvtFqhkZGZKkQ4cOeW1/8OBBSVJKSookaeDAge6nyb777ru6/vrrL9gHAAAACHY+LbP50Y9+pCNHjnj936hRoyRJa9eu1ZEjR5SXl6fU1FT169dPFRUVOnnyZId97tmzR7W1tRowYIBGjx7tft31sKiXX365Q5+2tjb36xMnTvRlSAAAAIAxLH1o1MWw2+3Kzs5WW1ubFi5c6HHnmbq6Oi1evFiSNHv2bNlsn/7hICcnR6GhoSooKHA/eMpl+fLlqq6uVnJyssaPH98zAwEAAAD8zJL7zF+qmTNn6sCBAyotLVVGRoZSU1PV2tqqHTt26MyZM0pPT1dWVpZHn4SEBOXm5mrBggWaOnWqxo0bp+joaJWXl6uiokLR0dF6+umn1atXj/8+AQAAAPzCL2Hebrdr1apVWr9+vTZu3KhNmzZJkpKSkjR37lxlZmZ2GsozMzM1ZMgQrV69Wvv371dDQ4NiY2OVlZWlOXPmKDo6uqeHAgAAAPhNiNPpdPr7IPyhtrbe34cQ8Lg/rXWopXUCoZauewYPnl/it2Poacfz7pTEZ6c3gXBeBgtqaR1qaa2gvM88AAAAAP8hzAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGslm1ox07dmj9+vU6ePCg6urqFBYWpuuvv16TJk3SlClTZLN5vlV9fb3y8/O1bds2VVVV6aqrrlJSUpIyMzN1zz336Kqrrur0fTZv3qz169ersrJSDodDcXFxSktL0+zZsxUTE2PVcAAAAICAZ0mYf+qpp1RYWKhevXppzJgxGjRokD744APt3r1bZWVl2rp1q1avXi273S5J+uijj5SVlaVjx44pMTFRd911lxwOh0pLS7VgwQLt3LlT//u//6uQkJBO3yc8PFzjxo1Tv379dODAAf3ud7/T5s2bVVRUpMGDB1sxJAAAACDg+Rzmt23b5g7YhYWF+tKXvuTedvjwYd17773as2ePfv/73ys7O1uS9POf/1zHjh3Td7/7XT3xxBPuWfiPPvpI9913nzZv3qw//OEPmjJlintfr732mgoLC3XdddepuLhYsbGxkiSn06nFixfrd7/7nebPn6/i4uIOPwIAAACAYOTzmvk//vGPkqScnByPIC9Jw4YN03e/+11J0t/+9jdJUlVVlTZv3qyrr75ajz32mMdymujoaD388MOSpPz8fI99/fa3v5Uk/eQnP3EHeUkKCQnRww8/rM997nM6cOCAysrKfB0SAAAAYASfw/yPfvQjPfvss/rOd77T6faEhARJUmNjo6T2mXxJGjdunPr27duh/bhx49SnTx+dOHFChw8fliSdOXNGe/fuVWhoqL7xjW906GO323XrrbdKkrZu3errkAAAAAAj+BzmR4wYodtvv91jtvx8VVVVkqQhQ4ZIkioqKiRJycnJnba32+264YYbJEmVlZWS2pfrOJ1OJSYmdvoD4Pz9ufoAAAAAwa5bb0356quvqqioSHa7XTNnzpQkVVdXS5LX8C9JcXFxkqQTJ05I+vQHgev1rvocP37c5+MGAAAATGDZrSkl6fTp0/rtb39p//ScAAAgAElEQVSrxsZG/eMf/1BlZaWSk5OVm5urpKQkSVJDQ4MkKTw83Ot+wsLCJH26NOdy+lxIVFTYRbW7ktls7b/1qJXvqKV1qKV/UffOcV5ah1pah1paK1DraWmYP3PmjNauXev+90GDBunrX/+6oqOj3a81NTVJkkJDQ73ux3ULy7Nnz15yH1dbAAAAINhZGuaHDx+uI0eO6OzZszp+/LheeuklvfDCCyoqKtLq1av11a9+1b3mvaWlxet+mpubJcnd9lL69OnT56KOta7OcVHtrmSuX57UynfU0jqBUMuYmEi/vbe/cQ53LhDOy2BBLa1DLa11ufXs7u+Mblkz37dvXw0fPlyPPPKIHn30UTkcDj388MNqa2tzL5XpajmMa1lNRESEx/9fTJ/IyCv3SxYAAABXlm69AFaS7rnnHklSTU2Njh49qsTEREnSqVOnvPapqamRJHdb11NdL6UPAAAAEOx8CvONjY166qmnNHfuXH388cedtgkJCXE/kbWpqUkjRoyQJB06dKjT9g6HQ0ePHpUkpaSkSGpfvmOz2XTs2DH3DPxnHTx40KMPAAAAEOx8CvNhYWH6y1/+opKSEm3fvr3TNhUVFXI6nQoJCVF8fLxuv/129erVSzt27Og0mG/atEn//ve/9cUvftE9yx4ZGakxY8aotbVVW7Zs6dCnoaFBf//73yVJEydO9GVIAAAAgDF8CvMhISGaMmWKJGnZsmU6cuSIx/ba2lotXrxYUvuTXQcMGKBrr71WkydPlsPhUG5urlpbW93ta2pq9Mwzz0iSHnzwQY99zZ49W5L0zDPPuO9VL0mtra362c9+psbGRt12220aNmyYL0MCAAAAjOHz3Wx++MMf6u2331Zpaanuuece3XzzzRo0aJBqa2v1xhtvqLGxUQMHDlRubq67zyOPPKLDhw/rpZdeUnl5uUaNGuWeXW9sbNT3v/993X777R7v87WvfU0/+tGPtGLFCt11111KS0tTZGSk9u7dq2PHjikxMVE/+9nPfB0OAAAAYIwQp9Pp9HUnbW1teumll/Tiiy/q8OHDqq+vV+/evTV48GB94xvf0P3339/hLjNnz55VQUGBNm3apBMnTig0NFTJycn63ve+p/T0dK/v9dprr2nt2rUqLy/X2bNnNWjQIKWnp2vGjBnuu95cjNra+sse75WCW1pZh1paJxBq6brN2OD5JX47hp52PO9OSXx2ehMI52WwoJbWoZbWCtRbU1oS5k3EF9KF8SFgHWppnUCoJWEenxUI52WwoJbWoZbWCtQw3+23pgQAAADQPQjzAAAAgKEI8wAAAIChCPMAAACAoQjzAAAAgKEI8wAAAIChCPMAAACAoQjzAAAAgKEI8wAAAIChCPMAAACAoQjzAAAAgKEI8wAAAIChCPMAAACAoQjzAAAAgKEI8wAAAIChCPMAAACAoQjzAAAAgKEI8wAAAIChCPMAAACAoQjzAAAAgKEI8wAAAIChCPMAAACAoQjzAAAAgKEI8wAAAIChCPMAAACAoQjzAAAAgKEI8wAAAIChCPMAAACAoQjzAAAAgKEI8wAAAIChCPMAAACAoQjzAAAAgKEI8wAAAIChCPMAAACAoQjzAAAAgKEI8wAAAIChCPMAAACAoQjzAAAAgKFsVu3ovffeU35+vvbs2aMPP/xQdrtdiYmJysjI0Pe//3317t3bo/25c+dUVFSkkpISvf/++3I6nUpMTNSkSZM0bdq0Du1ddu/ercLCQh08eFD19fWKjo5WamqqZs+erYSEBKuGAwAAAAQ8S2bmt2zZorvvvlsbNmxQZGSkvv3tbys1NVXHjh3TL37xC913331qbGx0t3c4HMrOztbSpUt15swZZWRk6I477lBtba2WLl2qnJwcNTU1dXifwsJCZWdna9euXRo5cqQyMzMVGxurDRs2aPLkyTpw4IAVwwEAAACM4PPM/OnTpzV//nw1NzfrkUceUU5OjnvbqVOn9N3vfldvv/22fvvb3+q//uu/JEkrV65UWVmZ0tLStGLFCvcsfENDg2bMmKF9+/bpueee09y5c937Onz4sJYsWaLIyEitW7dOQ4cOdW8rKChQXl6e5s2bp5KSEq+z+gAAAEAw8Xlm/sUXX5TD4dCNN97oEeQl6brrrtMDDzwgSdq6dauk9ln54uJi2Ww25ebmegTviIgILVq0SJJUVFTkMTu/Zs0atba2atasWR5BXpKmT5+uYcOGqaqqSlu2bPF1SAAAAIARfA7zY8eO1ZNPPqkf//jHnW7/whe+IEn65z//KUnauXOnHA6HUlJSFBcX16H98OHDFR8fr8bGRu3atUuS5HQ6tW3bNklSenp6p+8zYcIESZ/+aAAAAACCnc/LbJKTk5WcnOx1+4cffihJ6t+/vySpoqLC3a+rfVZVVamyslK33XabTp48qfr6eoWHh3u9yHXEiBGSpMrKyssaBwAAAGCabr01pdPp1J/+9CdJUkZGhiSpurpakhQbG+u1n2vG/vjx45Kkqqoqj9c749pfTU2NWlpafDtwAAAAwACW3ZqyM6tXr9Zbb72lqKgozZw5U1L7Ra6SFB4e7rVfWFiYJLnvgHMpfVz9oqKiujy2qKiwLrdDstnaf+tRK99RS+tQS/+i7p3jvLQOtbQOtbRWoNaz22bmX3jhBf3yl79UaGioli9frquvvlqS3Be1hoaGeu1rt9s92l5Kn/PbAwAAAMHM8pl5p9OpJUuWqKCgQHa7XcuWLdPo0aPd2/v27StJXS6FaW5uliT16dPnkvuc368rdXWOC7a50rl+eVIr31FL6wRCLWNiIv323v7GOdy5QDgvgwW1tA61tNbl1rO7vzMsDfPnzp3TvHnztGXLFvXr108rVqzwCPLSp0tlzn+I1Ge5ltVERrYPPiIi4oJ9XNtCQkK6XI4DAAAABAvLwnxzc7Nmz56t3bt3a9CgQfrNb36jIUOGdGiXmJgoqf2BUt7U1NR4tB08ePAF+7gurI2Pj+9yOQ4AAAAQLCxZM9/W1qZ58+Zp9+7dGj58uNavX99pkJc+vYXkoUOHvO7v4MGDkqSUlBRJ0sCBA9W/f385HA69++67F9UHAAAACHaWhPmVK1dq8+bNGjJkiAoKChQTE+O1bWpqqvr166eKigqdPHmyw/Y9e/aotrZWAwYM8Fii43pY1Msvv9yhT1tbm/v1iRMn+jocAAAAwAg+h/n33ntPzz//vEJDQ7Vy5Ur3w6G8sdvtys7OVltbmxYuXOhx55m6ujotXrxYkjR79mzZbJ+uAsrJyVFoaKgKCgrcD55yWb58uaqrq5WcnKzx48f7OiQAAADACD6vmf/Nb36jf//734qPj1dxcXGXbR988EH3PecPHDig0tJSZWRkKDU1Va2trdqxY4fOnDmj9PR0ZWVlefRNSEhQbm6uFixYoKlTp2rcuHGKjo5WeXm5KioqFB0draefflq9enXrc7AAAACAgOFzmHddlFpVVaW1a9d22fb+++9XVFSU7Ha7Vq1apfXr12vjxo3atGmTJCkpKUlz585VZmZmp6E8MzNTQ4YM0erVq7V//341NDQoNjZWWVlZmjNnjqKjo30dDgAAAGCMEKfT6fT3QfhDbW29vw8h4HF/WutQS+sEQi1d9wwePL/Eb8fQ047n3SmJz05vAuG8DBbU0jrU0lqBep951qQAAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIYizAMAAACGIswDAAAAhiLMAwAAAIayNMw7nU6tXbtWKSkpGjp0qN544w2vbc+dO6f8/Hzdc889GjlypG666SZNnjxZ+fn5OnfunNd+u3fv1pw5czRmzBiNGDFCt956qx577DGdOHHCyqEAAAAAAc9m1Y4++ugjPfroo9qxY8cF2zocDj3wwAMqKytTXFycMjIyJEmlpaVaunSptm/frvz8fPXp08ejX2FhoZ566inZ7XbdcsstiomJ0ZEjR7RhwwZt3rxZ+fn5GjlypFVDAgAAAAKaJWH+9ddf109+8hN9/PHHmjZtmrZu3aoPP/zQa/uVK1eqrKxMaWlpWrFihXr37i1Jamho0IwZM7Rv3z4999xzmjt3rrvP4cOHtWTJEkVGRmrdunUaOnSoe1tBQYHy8vI0b948lZSUuPcHAAAABDNLltn8+c9/VktLi1auXKmFCxcqNDTUa1uHw6Hi4mLZbDbl5uZ6BO+IiAgtWrRIklRUVKSmpib3tjVr1qi1tVWzZs3yCPKSNH36dA0bNkxVVVXasmWLFUMCAAAAAp4lYf7GG2/Uxo0b9c1vfvOCbXfu3CmHw6GUlBTFxcV12D58+HDFx8ersbFRu3btktS+Fn/btm2SpPT09E73O2HCBEnS1q1bL3cYAAAAgFEsWWaTlZV10W0rKiokScnJyV7bJCcnq6qqSpWVlbrtttt08uRJ1dfXKzw8XAkJCZ32GTFihCSpsrLyEo4cgBViYiKviPcEACDQ9PitKaurqyVJsbGxXtu4ZuyPHz8uSaqqqvJ4vTOu/dXU1KilpcWKQwUAAAACmmV3s7lYDQ0NkqTw8HCvbcLCwiRJjY2Nl9zH1S8qKqrL44iKCutyOySbrf23HrXy3ZVSy8HzS/x9CD3ieN6d/j4Evwn2c/hyXSn/jfcEamkdammtQK1nj8/Muy5q7eoiWbvd7tH2Uvqc3x4AAAAIZj0+M9+3b19J6nIpTHNzsyS57zN/KX3O79eVujrHhQ/2Cuf65UmtfBfstWT9+pUjWM9hXwX7f+M9iVpah1pa63Lr2d3fkT0+M+9aKuNaQtMZ17KayMj2wUdERFywj2tbSEhIl8txAAAAgGDR42E+MTFRknTq1CmvbWpqajzaDh48+IJ9XBfWxsfHd7kcBwAAAAgWPb7MxnULyUOHDnltc/DgQUlSSkqKJGngwIHq37+//vWvf+ndd9/V9ddff8E+AADrXYlLqmpr6/19CADgVY/PzKempqpfv36qqKjQyZMnO2zfs2ePamtrNWDAAI0ePdr9uuthUS+//HKHPm1tbe7XJ06c2E1HDgAAAASWHp+Zt9vtys7O1q9+9SstXLhQzz//vPuC1bq6Oi1evFiSNHv2bNlsnx5eTk6ONmzYoIKCAt12220eD51avny5qqurlZycrPHjx/fsgADgCnKl3H5UurJvQQrAHD6H+bq6Oj377LMdXpOkdevWadu2be7Xp02bpoSEBM2cOVMHDhxQaWmpMjIylJqaqtbWVu3YsUNnzpxRenp6h6fKJiQkKDc3VwsWLNDUqVM1btw4RUdHq7y8XBUVFYqOjtbTTz+tXr16/I8NAAAAgF/4HOYbGhq0du3aTrdt2bLF499vv/12JSQkyG63a9WqVVq/fr02btyoTZs2SZKSkpI0d+5cZWZmdhrKMzMzNWTIEK1evVr79+9XQ0ODYmNjlZWVpTlz5ig6OtrX4QAAAADG8DnMDxo0SEeOHLn0N7bZNG3aNE2bNu2S+t10000d/hIAAAAAXIlYkwIAAAAYijAPAAAAGIowDwAAABiKMA8AAAAYijAPAAAAGIowDwAAABiKMA8AAAAYijAPAAAAGIowDwAAABiKMA8AAAAYijAPAAAAGIowDwAAABiKMA8AAAAYijAPAAAAGIowDwAAABiKMA8AAAAYijAPAAAAGIowDwAAABiKMA8AAAAYijAPAAAAGIowDwAAABiKMA8AAAAYijAPAAAAGIowDwAAABiKMA8AAAAYijAPAAAAGIowDwAAABiKMA8AAAAYyubvAwAAIJDFxER2S9tAVltb7+9DAHCRmJkHAAAADMXMPAAAXRg8v8Tfh9Bjjufd6e9DAHCJmJkHAAAADEWYBwAAAAxFmAcAAAAMRZgHAAAADEWYBwAAAAzF3WwAi3V1n+lguQc1AAAIDMzMAwAAAIYycmb+xIkTev7557V7927V1tYqPDxcI0eOVHZ2tkaPHu3vwwMkcW9qAOYKhL8i9vQx8NRbmMq4mfn9+/fr7rvv1oYNGzRw4EBlZmZq5MiR2rlzp+6//34VFRX5+xABAACAHmHUzPzZs2c1b948ORwOLVmyRHfffbd7W1lZme6//37l5eXp5ptv1g033ODHIwUAwFz8ZREwh1FhftOmTaqpqdHYsWM9grwkffnLX9bUqVO1du1aFRYW6sknn/TTUeJ8gfCnWgAAgGBl1DKbrVu3SpIyMjI63Z6eni5JeuWVV3rsmAAAAAB/MWpmvrKyUpL0xS9+sdPtycnJkqS6ujpVV1dr0KBBPXZs6Bp/sgUABLJg/ktyMI/tUgXjhc7GhPnm5madPn1akhQXF9dpm759+yoqKkp1dXU6ceJEwIV5U/9jMvW4AQAAgl2I0+l0+vsgLsaZM2c0ZswYSdKhQ4fUu3fvTtuNHz9ep06d0ooVKzRhwgSv+2tpae2W4+xKaOhVPf6eAAAAaOdL/rPZ2len//vfbZfUr7vznzEz8+fOnXP/c2hoqNd2drtdUvudb7pCsAYAALiyWJH/Ai1DGnMBbJ8+fdz/3NLS4rVdc3OzpPYlNwAAAEAwMybMh4eHu/+5sbHRa7uGhgZJUmQk67wBAAAQ3IwJ83a7XQMHDpQk1dTUdNqmvr5en3zyiSQpMTGxx44NAAAA8AdjwrwkjRgxQlL7BbCdeeuttyRJMTExio2N7bHjAgAAAPzBqDDveljUpk2bOt3+17/+VZJ0553c5xsAAADBz6gw/81vflOJiYnau3ev/u///s9j22uvvaaXXnpJYWFhmj59up+OEAAAAOg5xtxn3qWyslLTp09XXV2dvva1r+n6669XdXW1Xn/9dYWEhGjZsmXuGXx86sSJE3r++ee1e/du1dbWKjw8XCNHjlR2drZGjx7dY/v75z//qV//+tcqLS1VbW2toqKiNHLkSN1///36yle+4ssQe0yg1PJ8jY2N+ta3vqWamhpNnjxZeXl5l3wc/hAItTx79qx+97vfafPmzXr//ffV0tKia6+9VqNHj9YDDzygL3zhC74O03JW1u1y9nXu3DkVFRWppKRE77//vpxOpxITEzVp0iRNmzbN63NAApG/a2ni+eeNv2v5WaZ+LkqBUctg+L6W/F/L06dP64UXXtBrr72mU6dOKSQkRAMHDlRaWpqmT5+ua665xucxXvXEE0884fNeelBMTIy+9a1vqampSRUVFdq7d68++eQT3XLLLVq6dKn7wVL41P79+3Xffffp0KFDGjZsmL7+9a8rMjJSO3fu1IYNG9S/f3+lpKR0+/4qKio0ZcoU7d+/X0lJSfr617+utrY2lZaWauPGjRo8eLCSkpKsHLrlAqWWn7V48WLt3r1bkjR8+HDdfvvtlz3GnhIItfzoo4903333qaSkRC0tLRo7dqySk5N1+vRpvf7669qwYYNGjhwZUE+TtrJul7Mvh8OhnJwc/elPf5LNZtP48eN1ww036B//+IdeeeUV7d27V3feeadstsB/jIm/a2ni+eeNv2vZGRM/F6XAqGUwfF9L/q/l4cOHNWXKFO3Zs0dRUVG67bbbNHToUFVXV+vVV1/Vxo0bNXbsWMXExPg2UCeCmsPhcI4fP96ZlJTk3Lhxo8e2/fv3O0eMGOFMTk52vvPOO926v7NnzzrT0tI67bdu3TpnUlKS86tf/aqzoaHhMkbZMwKllp+1e/du59ChQ50333yzMykpyfnII49c2sD8IFBq+YMf/MCZlJTkvPfee52ffPKJ+/WWlhbnI4884kxKSnKOHz/e2draepkjtZaVdbvcfS1ZssSZlJTknDlzprOpqcn9en19vXPKlCnOpKQk57Jly3wYZc8IhFqadv55Ewi1/CwTPxedzsCoZTB8XzudgVHLSZMmOZOSkpzz5s1zNjc3u19vaWlxzp8/35mUlOS86667fBhlO6PWzOPSbdq0STU1NRo7dqzuvvtuj21f/vKXNXXqVLW0tKiwsLBb91dcXKwPPvhAd911V4d+9957rx588EE9+uijam29/Mcsd7dAqeX5HA6HHn/8cfXt29eoa0UCoZanT5/W9u3bJUk///nPPZ5NYbPZNH/+fEntt8J9++23L2ucVrOybpezL4fDoeLiYtlsNuXm5nosp4mIiNCiRYskSUVFRWpqavJlqN3O37U08fzzxt+1/CxTPxelwKhlMHxfS/6v5bFjx/TOO+9IkubOnavQ0FD3NpvNpoceekhS++z9iRMnLnuckmEXwOLSbd26VZK8XkeQnp4uSXrllVe6dX9/+ctfJElTp07t0CckJEQPPfSQ7rnnHvXr1++ijsMfAqWW5/vFL36h6upq/eQnP/H9z3Q9KBBqabfbtXTpUv30pz/VkCFDOvSJiorS5z73OUntwSsQWFm3y9nXzp075XA4lJKSori4uA59hg8frvj4eDU2NmrXrl0XPAZ/8nctTTz/vPF3LT/L1M9FKTBqGQzf15L/a+l6iGlISEin6+JjY2PVq1d7DP9//+//XfAYukKYD3KVlZWSpC9+8Yudbk9OTpYk1dXVqbq6ulv219DQoMrKStntdt10002XNoAAEgi1PN+bb76p3//+9xo1apTuu+++Cw8ggARCLfv376+77rpL3/ve9zrt09TU5H4IXf/+/S94DD3Byrpdzr4qKio8tnXVz7X/QOXvWpp4/nnj71qez+TPRcn/tQyW72vJ/7WMj4/XVVddJafTqaqqqg59Tp8+rba2Nl111VVKSEi4iBF5R5gPYs3Nze4Znc5m0SSpb9++ioqKkqQL/pnncvf33nvvyel0Kj4+Xq2trXr++ec1adIk3Xjjjfra176mBx54wH2RUqAKlFq6nD17Vo8//rj69OmjxYsXKyQk5OIH42eBVktvNm7cqJaWFsXFxenGG2+8qD7dycpxXu6+XF9SXT2Uz7W/48ePe23jb4FQywsJtPPPm0Cqpcmfi1Jg1DIYvq+lwKil6we7JP3qV7/yWJbkdDr161//WpJ011136eqrr77osXUm8G83gMvm+hOPJIWHh3ttFxYWprq6OjU2NnbL/mpra92vz5gxQ+Xl5brlllv0la98ReXl5dq5c6d27dqlJ554otM/6wWCQKmly7Jly3Ty5Ek99thj+vznP3+hww8ogVbLzrz33ntatmyZJOm///u/PdY6+ouV47zcfbn6XaiPpIuqs78EQi27EojnnzeBVEuTPxelwKhlMHxfS4FRS0l64okn1NTUpJKSEpWXl2vUqFEKCQlRWVmZ3nvvPaWnp7uvNfIFYd4gP/7xj/WPf/zjotpee+21HvfU7erLwG63S2qf1ejKuXPnLmt/DodDkvT2229rxIgR2rZtm3stqCT95je/0bJly/Tkk09q3Lhxuu6667o8DiuYWktJ2rdvn9atW6cvf/nLysrK6vrge4DJtezMkSNHNHPmTNXX1+s//uM/Olzs5C9WjvNy9+W6qPVi+gTyBbCBUEtvAvX8+//t3V9IU+8fB/C3TJaF7SKCiowwxqGcgyiWIdhVtYvWxbLYnRIFhVEXEphGfy/qItIQIYMwKgJN1AIhky4iI5YXpQujwMjE1UXRH7xItrnndzHOcLWj62x+z/Ps937BELedR5+3j8/57JztOUZkyVK2edEMGbKUcX9thgxZAkBRURGqq6sRDocRCoVSzgCUl5fD5/Nh6dKl8/QkMyzmFRIOh/Hx48eMnhuJRFBUVJT8PhqNGl7IJRKJAMCCA8psezabDUDitNKZM2dSJgYAOHToEHp6ejAxMYG+vj4cO3Zs3t8jF1TNcmZmBk1NTbDb7bh06VLywzNWUjXLdIaHh1FXV4fp6Wn4fD7IdBmOXPbTbFv612g0ati2vs3cnyEbGbJMR+bxZ0SGLGWcF82QIUsZ99dmyJAlALS0tKC9vR1OpxMdHR3YunUrhBB48+YNmpubcfz4cQQCAVy8eDHzzqXBYl4h9+/f/6fn6wMLSJzyNhqA+imkuUujpTP39NK/tFdcXAwgsRRTuosz2Gw2VFRUYGJiIuMjvNlSNcvm5mZ8+vQJDQ0NKC0tzbwDi0jVLP/U39+PU6dOIRqNora2Fo2NjVK95zZX/cymLX27TE5JL/R3s5IMWf5J9vFnRIYsZZwXzZAhSxn312bIkOXo6Chu3LiB4uJi3L59GytXrkw+d9u2bejo6MDu3bvR1dWFvXv3wuPxZNi7v6n58pUyYrfbsXbtWgCJo6fpTE9PJ1dMWGgSNNveunXrAACzs7Mphdxc+vJh+ik+2ciQ5bdv33D37l0UFhbi9evXOHHiRMrt3r17ABJH9/T7ZCRDln/q7u7GyZMnEY/HcfbsWTQ1NUlXSOUyN7Nt6V8/f/5s2LbensxFlQxZzqXC+DNidZb5Mi8C1mcJ5Mf+GpAjy4GBAQghUFFRkVLI65YtW4YtW7YAQPKaE2axmM9z5eXlAIBQKJT28ZGREQCJf875VqjIpr3169dj+fLlEEIYrnChf1Jc5iXYrM5yZmYG8XgcsVgMg4ODePz4ccpNv7BMOBxO3icrq7Oc68mTJzh37hzsdjtaW1sNlwqUQS5zM9PWQtsAiaNRADK+RLpVrM5Sp9L4M2Jllvk0LwLWj8t82V8D1mepn8Gc7y08+nvws10wgMV8ntMvcPDo0aO0j/f39wMA9uzZs2jt2Ww27Ny5E0DiCNSfYrEYgsEgACRfpcrI6ixLSkrw/v17w5HdAsIAAAOKSURBVNvly5cBAH6/P3mfrKzOUjc+Po76+noAwLVr15LjVFa5zM1MW5WVlXA4HBgbG8Pk5ORf2wSDQXz9+hUrVqzA9u3bF/wdrGR1loB648+IlVnm07wIWD8u82V/DVifZUlJCYDEGvVCiLTbjY+PA0D2qy8JymuRSER4vV6haZro7OxMeezp06di48aNYvPmzeLLly8pjw0ODgqv1ysOHz6ck/Y+fPggXC6XcLvd4uXLl8n74/G4uHLlitA0TXg8HvHr169cdHtRyJKlkZ6eHqFpmmhoaDDRu/+WLFkGAgGhaZpobW3NYe8Wj5l+5jqztrY2oWmaqKmpEb9//07e/+PHD+Hz+YSmaeLWrVs56vHikSFL1cafERmyNKLSvCiEHFnmw/5aCOuznJycFC6Xy3BO7O3tFZqmCZfLJaamprLqa4EQBi8XKG+8ffsWBw8exM+fP+HxeOB0OjE1NYUXL16goKAAV69e/esSxb29vWhsbERpaSkGBgaybg9IXATl9OnTKCgoQFVVFVavXo1QKISxsTEsWbIEbW1t2LFjx6JmkS1ZskxH/zl+vz9l+UdZWZ1lMBhEbW0tACAQCBh+qAkAqqqqpBmb/9rPXI+/SCSCuro6DA0NYc2aNaisrMTs7CyePXuG79+/w+v1oqWlJbkqhsyszFLV8WfE6nFpRLV5EZAjy3zYXwPWZ9nd3Y3z588jFouhrKwMbrcbAPDu3TuMjo6isLAQFy5cwP79+7PqJ1ez+T9QVlaGhw8f4vr16xgaGsLIyAgcDgd27dqFo0ePYtOmTf9Je36/Hxs2bMDNmzfx6tUrPH/+PHmFtCNHjsDpdOaiu4tKlizzgdVZzv0QZ1dX17xtOxwOaXZcuczNTFt2ux3t7e3o7OxEX19f8rSzpmmor69HdXW1MksDWpmlquPPiNXjMp/IkGU+7K8B67M8cOAA3G437ty5g+HhYTx48ABCCKxatQr79u1DTU1NTsYzj8wTERERESlKjcMnRERERET0FxbzRERERESKYjFPRERERKQoFvNERERERIpiMU9EREREpCgW80REREREimIxT0RERESkKBbzRERERESKYjFPRERERKQoFvNERERERIpiMU9EREREpCgW80REREREimIxT0RERESkKBbzRERERESKYjFPRERERKQoFvNERERERIpiMU9EREREpCgW80REREREivofpIalKwsdtQ0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 246,
       "width": 377
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(returns, ec='white');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 2. first, let's see if it makes sense to fit a Gaussian distribution to this.\n",
    "with pm.Model() as model1:\n",
    "\n",
    "    stdev = pm.HalfNormal('stdev', sd=.1)\n",
    "    mu = pm.Normal('mu', mu=0.0, sd=1.)\n",
    "\n",
    "    pm.Normal('returns', mu=mu, sd=stdev, observed=returns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [mu, stdev]\n",
      "Sampling 4 chains: 100%|██████████| 6000/6000 [00:02<00:00, 2119.80draws/s]\n"
     ]
    }
   ],
   "source": [
    "with model1:\n",
    "    trace = pm.sample(500, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 500/500 [00:00<00:00, 1632.68it/s]\n"
     ]
    }
   ],
   "source": [
    "preds = pm.sample_ppc(trace, samples=500, model=model1)\n",
    "y = np.reshape(np.mean(preds['returns'], axis=0), [-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 263,
       "width": 372
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2)\n",
    "\n",
    "ax1.hist(y, ec='white')\n",
    "ax1.set_title('Normal distribution returns')\n",
    "ax2.hist(returns, ec='white')\n",
    "ax2.set_title('Real returns')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Average Loss = -66,904: 100%|██████████| 150000/150000 [01:02<00:00, 2395.48it/s]\n",
      "Finished [100%]: Average Loss = -66,910\n"
     ]
    }
   ],
   "source": [
    "# 3. now let's relax the normal distribution assumption: let's fit a Cauchy distribution.\n",
    "with pm.Model() as model2:\n",
    "\n",
    "    beta = pm.HalfNormal('beta', sd=10.)\n",
    "\n",
    "    pm.Cauchy('returns', alpha=0.0, beta=beta, observed=returns)\n",
    "\n",
    "    mean_field = pm.fit(n=150000, method='advi', obj_optimizer=pm.adam(learning_rate=.001))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [beta]\n",
      "Sampling 4 chains: 100%|██████████| 60000/60000 [00:42<00:00, 1401.83draws/s]\n",
      "There were 2562 divergences after tuning. Increase `target_accept` or reparameterize.\n",
      "There were 2519 divergences after tuning. Increase `target_accept` or reparameterize.\n",
      "The acceptance probability does not match the target. It is 0.8826667027142162, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "There were 2570 divergences after tuning. Increase `target_accept` or reparameterize.\n",
      "There were 2532 divergences after tuning. Increase `target_accept` or reparameterize.\n",
      "The number of effective samples is smaller than 10% for some parameters.\n"
     ]
    }
   ],
   "source": [
    "with model2:\n",
    "    trace2 = mean_field.sample(draws=10000)\n",
    "    trace3 = pm.sample(5000, tune=10000, target_accept=0.99)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zE4DIyEgiIyOL3Tc9Pb1cdfn5+dGmTZsit/fv35/p06cTFRXFpk2bGDp0KKdPn+bNN9/EZDLx4YcfFliHq02bNsyaNYshQ4awdu1avv/+ewYNGlSuGEVESsPPz4+ZM2fy5Zdf8v333xMZGYnD4aBhw4b07t2bMWPGFLqo+/Dhw+nSpQvz5s1j06ZNnDlzBpvNRkREBK1bt2bgwIH07t270OT9fffdx5kzZ/jpp59ITEwkPDycFi1aABAUFMTnn3/OrFmz+PXXXzl79iwhISG0adOGoUOH0r9/fywWC0OHDuXAgQOsWrUKm81Gq1atXP5eiYiISMmVpZ3m7+/PH3/84erQ8pWlfVetWrX87UUlsW688UY2bdrEwYMHnR6ziFQdaquJiIirKdHlQc7NCXznnXc6beqK8mjQoAFRUVH5Q7h/++03cnJyuOaaawokuc6xWCzceOONHDx4kNWrVyvRJSIu17Bhw0suIo0YMYIRI0aUqpymTZvy0ksvlbp+X19fnnnmGZ555plCt4eFhTFp0iQmTZpUZBl+fn68/vrrRfYQFxEREffytHZaWV3cvmvYsCFmsxmHw1FgZMWFIiIigPPJPhGRklJbTUREKpLW6PIgTZo0AeD06dMVVqfD4ShyW2JiIgChoaHA+d6JhfWyOcfX1xc4P9+7iIiIiIiIN3NHO62sStO+CwgI4MorrwQocqRabGwsADVq1HBilCIiIiIizqVElwe54YYbANi7d2+Rjai1a9dy5MiRctf13HPP0a5dO+bMmVPo9sOHD/Pnn38C0L59e4D8dbqOHj1aZI+/c8+5eBFQERERERERb1SR7bSyKkv7DuCOO+4AYNGiRYU+b8OGDUDRUxuKiIiIiHgCJbo8yJVXXknXrl3Jzc3ltddeIzs7u8D2tWvX8thjj3HPPffk98Yrq86dO5OZmcn777/P3r17C2xLTU3lxRdfxOFw0LVr1/xpCrt3705YWBipqam8++67GIZR4HkbN25kzZo1AAwYMKBc8YmIiIiIiHiCimynlVVZ2ncAI0eOJDQ0lN9++42lS5cWeN4XX3zBtm3b8PX1ZdiwYRXyOkREREREysJkXJytEKdJTk5m1qxZBR5bvHgxGRkZ9OrVizp16uQ/PmLECJo0aUJsbCwPPPAAkZGR1K5dm5tuuglfX1+OHDnCrl27sFgsTJkyhcGDB+c/d+/evfz444/599PT01myZAkADzzwQIH6z809bBgGTz31FMuWLcNsNtO1a1caNWpEcnIy69evJyUlhebNm/PJJ5/kz8sOsGbNGp544gmysrJo1qwZ119/Pb6+vhw7doytW7diGAbjx49n3LhxznsjRUREREREnKSi2mllVZHtO8jrsPiPf/yD7OxsbrzxRpo2bcrRo0fZunUrZrOZyZMnc/fdd5f7dYmIiIiIuIoSXS506tQpevbsWaJ9582bR+fOnYG8hszcuXNZuXIlJ0+exGazUbNmTTp06MCoUaNo06ZNgecuWbKE5557rkT1XLgQqGEYLF26lMWLF3PgwAHS0tIIDg7miiuuoE+fPgwbNoyAgIBLyoiKiuKzzz5jw4YNxMTEkJubS82aNWnXrh3Dhw+nU6dOJYpFRERERESkolVUO62sKrp9B3nT03/wwQds2rSJpKQkqlevTvv27fl//+//adpCEREREfF4SnSJiIiIiIiIiIiIiIiIV9IaXSIiIiIiIiIiIiIiIuKVlOgSERERERERERERERERr6REl4iIiIiIiIiIiIiIiHglJbpERERERERERERERETEK/m4O4DKKC4uzd0hiIiIiIhIMSIiQtwdglQwT2inhYUFAZCcnOnmSMRT6RiR4uj4kOLo+JDi6PiQy/GUY6Ss7TQlukRERERERLzQsWPHOHHiBOnp6fTv39/d4YiIiIiIiLiFEl0iIiIiIiJewmazMWfOHBYsWEBcXFz+4+cSXWfPnmX8+PFMnjyZ5s2buytMERERERGRCqM1ukRERERERLyAw+Hg0Ucf5b333uPs2bNUq1aN0NDQAvts376dPXv2MGrUqAKJMBERERERkcpKiS4REREREREvsGDBAjZs2ECLFi34/PPP2bp16yVTFvbt25exY8eSmJjIJ5984qZIRUREREREKo4SXZVUZNpxNsauZ3/SPqIzTmE37O4OSUREREREyuGHH34gNDSUDz74gA4dOmAymTCZTJfsN378eJo0acLatWvdEKWIiIiIiJSXOT0GS/wByM1ydyheQWt0VUIbY9fzwo5nCjwW5BNEi7BWtA1vR8/6d1AvqL6bohMRERERkbI4fvw4nTp1IiIi4rL7tm/fnuXLl1dAVCIiIiIi4lTWDHxPbwHAZE0nt34nNwfk+ZToqoRiMqMveSwzN5Md8dvYEb+NTw5/yLXh1zGw8WC61+uB2aSBfSIiIiIini4rK4saNWqUaF9fX18Mw3BxRCIiIiIi4myWtFPnb6efJteNsXgLJboqoc7hvfjZcoI421FMlgxySCTbSC6wz97E3exN3M3nf85lVPMxdK3TrdBpT0RERERExDPUrVuX/fv3l2jfPXv2UKdOHRdHJCIiIiIizmZy2NwdgtfRUJ5KaNGuBPb9ryPxfwzl1IGHiTswkfQjE3HE3kuYcS3mCz724+nHeHnnc0zc9iRnsmLcGLWIiIiIiBTnxhtv5ODBg8ydO7fY/WbPns3hw4fp0qVLxQQmIiIiIiLOo3W5Sk0juiqh7n5/8C//p6hhSifFCCLOCOO0UZPNKS1Ym3QD0eZ+NGyyi4zANVgdeV+a7fFb+X9rR/LINWPp33iQRneJiIiIiHiY0aNH89NPPzFt2jRWrVpFt27dOHz4MACLFi3i9OnTrFixguPHjxMUFMTo0aPdHLGIiIiIiIjrmQxN3O50cXFpbq0/4OeJZH/3A7ZMCxY/B2ZfB75BdvzDcvGvbiPZUo3l9s7MoTt+V0USw68YnD8Mbq3XkwltniPQJ8iNr0JERERExHUiIkLcHUKZbN68mSeffJKkpKRCO6cZhkHNmjV555136Ny5sxsi9FzubqcBhIXltbGSkzPdHIl4Kh0jUhwdH1IcHR9SHB0f3sUnZnuBdbpymg9yeZ2ecoyUtZ2mEV2VUNLhEDL2F3FAmAz8Q3O5o8FWBjdYy4YjrfgouB9nm+4m3pr35fkt5leOpR3l1fZv0rhakwqMXEREREREinPDDTewatUqFi9ezJYtW4iOjiYzM5OgoCAaN27MDTfcwIABA6hWrZq7QxUREREREakQGtHlAu7uKZi99AfSp04p0b4+QbnUuCKT7c2uYE6bq/nDsTl/W4hvCFOu/zdtwtu6KlQREREREbfw1hFdUnbubqeB5/SUFc+lY0SKo+NDiqPjQ4qj48O7+JzZgSU1Kv++RnRdnkZ0VUIB/QZgaXYF9qNHcGRkYKSmYI86Se6fR3BEn4ILcpu5mT7E7atO0/1neXdPFPNvas3iZqexOqyk2dKYsPUJJrV9mW71bnXjKxIRERERERERERERqQounaJciqdEVyXl27IVvi1bXfK4IyMd27atWDesxbphLUZaOgCGw0T6iQDuOnmE264y82rf6pwMzMDmsPLqrheYkPscfRrdWdEvQ0RERERE/jJz5sxS7W8ymRg7dqyLohEREREREZcoZC1eKZ4SXVWMObga/rf0wP+WHhhWKzm/ryb7q7nkHj6Wt4NhIuSwwVtHk/m+ezALOubgMMNb+97EwKBvo/7ufQEiIiIiIlXUzJkzMZWw0WsYhhJdIiIiIiJSJSjRVYWZ/PwIuKM3AXf0xrZvDwn/fgGfyNi8jXYTA1dn0mG/mel9IbLu+WRXv0YD3Bu4iIiIiEgVNGjQoCITXTabjejoaA4dOoTFYuH+++8nICCggiMUEREREZHy04iu0nJqois2NpY6deo4s0ipIL5t2lJn3g8c/XouNebPxkjJe7xBrIM358LXN5v5rouJd/ZNI8gSxK31b3NrvCIiIiIiVc3UqVMvu09iYiKvvPIKq1ev5ssvv6yAqERERERExKk0dWGpmZ1ZWI8ePRg9ejTLli3DarU6s2ipACaTiSuHPUjczCXEX1sTk8UAwGLAfWsdPL/QQfUMB2/ueY2tcZvdHK2IiIiIiFwsPDyc//u//yMrK4sZM2a4OxwR8SL26FPkrFuD7eABd4ciIiIiUipOTXTZ7XbWr1/P008/TdeuXXnllVfYu3evM6uQCnBN04YYL33Nyl5dCax1PmHZNtLg3x/bueKkjZd3PMfB5P1ujFJERERERArj7+9Ply5dWLVqlbtDEREvkvvnEcjJxhEdhSM1xd3hiIiIiJSYUxNdv//+O8888wwtW7YkNTWVhQsXMmzYMO68804+/vhj4uLinFmduFCLOiG0feg13rn1Aaq3zATyRnfVyICXv7Rzw+4sXtg+kdisM+4NVERERERELpGdna32l4iUju18R1cjK8uNgYiIiEi52TLxid2FOfm4uyOpEE5NdNWtW5eHHnqIxYsXs3LlSp588kmuuuoq/vzzT9566y1uvfVWHn30UX755RdsNpszqxYXaFEnhH6DH2Jci38R0j0Hi78dAB8HjF3qoPcvcbyw9V9k5ma4OVIRERERETknNTWVjRs3Ehwc7O5QRMRb6ZqNiIiIV/ON2YYl5QS+Z/dgyk5ydzgu5+Oqghs1asQjjzzCI488wrFjx1i2bBk//vgjv//+O2vWrCE0NJQ777yT++67jyuuuMJVYUg5tW8YxvB+/RjxYxDzbn+d3HUOclJ8Abhrk0Gd5MO86f8yr3SehsVkcXO0IiIiIiKV18yZM4vd7nA4iI+PZ+XKlSQnJ3PbbbdVUGQiUtkYSnSJiIh4NfMFyS1zegz2gBpujMb1TIZhGBVZ4ZIlS3jjjTfIyDg/CqhLly6MGzeOdu3aVWQoLhMXl+buEJzu270xfLpyM5+bXsdvi5X00wH523Y3M3H8qXsZc92TboxQRERERKTkIiJC3B1CqV1zzTWYTKZi9znXvIuIiOCLL76gcePGFRGaV/CEdlpYWBAAycmZbo5EPJU7j5GcVSvyb1ua/g2fK6+q8BikeDqHSHF0fEhxdHx4F5+ze7BcMOVgTvNBpS7D//B3+bdzw5tjr9Wy2P095RgpazvNZSO6LnT69Gl++uknli5dyuHDh/MbXx07diQ7O5sNGzawceNGRo8ezdNPP10RIUkp3XVtPRIz23PvhpeY1+UNauxJI+lI3lQo1x03CJi6gBUvN6BXi3vcHKmIiIiISOU0aNCgYhNdJpOJ4OBgmjdvTp8+fahWrVoFRicilUuF9okWERERKReXJbqsVisrVqxgyZIlbNmyBcMwMAyDiIgI7rrrLoYMGUKTJk0AWL9+PZMmTWLOnDnUrl2bkSNHuiosKYeHOjcmIcPG8N0v8OV1Uwj3SyFxf16G9ZpoOP7i2+x9uz7XNunq5khFRERERCqfqVOnujsEEREREXERR0I8uScisdSrj6VefXeHI+JVnJ7o2rNnD4sXL2b58uWkp6djGAY+Pj5069aNoUOH0r17d8xmc4HndO3alQULFtC/f3/mz5+vRJeHMplMPH3rFcRnWBlxZBILW02hhn8ySTtDAWgWa3DiX88QP+sLakU0c3O0IiIiIiIiIuLtHJkZmIOC3R2GiIhLGYaBbdcOAHKTkzDXroPJYnFzVCLew6mJrn79+nHs2DEg78vZtGlThgwZwl133UWtWrWKfW79+vXp0aMHy5Ytc2ZI4mQWs4nX+lzNw6nZDI99noVXTiHIL4XMzXnJriYxuZwe/yDVP/gWv9DKvcCdiIiIiIgrbdu2rdxldOzY0QmRiEjVU/x6gBXFtnc3jrOxmOvVx7dVG3eHIyLiOjbb+dsOB9jtoESXSIk5NdF19OhRAgMD6d27N0OGDKFDhw6len7Dhg3zpzMUzxXga+GdQa34+xdWhqdPYlHjV8kypxO4MW8NgPrRmRwffz/NP1iMKTDQzdGKiIiIiHinkSNHFrsm1+WYTCYOHDjgxIhERCqOYbfjOBsLgCPmNCjRJSKVmcPh7ghEvJpTE12vvfYaffv2LfOix0888QRPPPGEM0MSF6lVzZ9372rN6IW5jLA9z+JGr7AU12fjAAAgAElEQVS5WzZXrg0AoObxeCInPkzTdz7F5OOypeBERERERCqt+vXduzbDli1beOCBBy673yuvvMJ999132f1GjhzJ1q1bS1T3r7/+SsOGDQHo0aMH0dHRxe7ftm1bvv766xKVLVKhcrPA7Adm9covL8MwypX8FxHxZIbN6u4QRLyaUzMQ99xzDwB79+7ljz/+YOjQoZfs8+KLLzJw4MBSj/YSz9O8djWm9GvBhO8c/N06kS/rTear7j50W5N3WIXs+oPYKc9S56V/Y7poXTYRERERESne6tWr3R0CAHXq1KFXr15Fbr/66qtLVE6vXr245ppritxus9lYuHAhvr6+hXaeHDx4cJGdKhs0aFCiGEQqkjn9NL4x2zDMvlib3gYWP3eH5F0M49L7SnSJSCXlOH1Rp56Lz4EiUiynD7WZPn0677//Pq1atSo00bVkyRK++eYbRo0axcSJE8td34kTJ/jggw/YtGkTcXFxBAcH065dO0aNGsUNN9xQojKc3VOxKul2RU3+ecvfePd3eNg6gZn1p7HghprcsTnvj0+fX9eSUvNdwsY/7d5ARURERESqkDVr1pCQkMDgwYPLXVaTJk2YNGlSucsZMWJEsdvff/99DMPgoYceIiws7JLtY8eOzR/lJeINfE/njWA02a34JBwkt3ZbN0fk5RwOUCdaEamsAoPcHYGIV3NqomvNmjXMnj2bwMBAOnXqVOg+Dz74IIsWLWLu3Lm0a9eOO+64o8z17dixg9GjR5OZmUnHjh3p1q0bsbGxrF+/nt9++40XX3zxso2pCzmrp2JVc1/7BkQmZvLtXng+Zzz/vHImq7Nq0WNPXs+D3K+/IrNmbYKGj3RzpCIiIiIiVcMPP/zA2rVrnZLoqginTp3i/fffp379+jz66KPuDkfE6Uy52e4OwfvY7QXva3SDiFRiJj+N+hUpD6cmuubMmUNAQACLFi3iyiuvLHSfCRMmMHToUAYOHMj8+fPLnOjKysriX//6F5mZmUybNo1Bgwblb9u5cyd///vfmTp1Kp07d+aqq64qUZnO6qlY1ZhMJp7pcSXRydmsOnk9oZkP0vX6+WzJCqPz4bw/RDNnz8BcowYBfe50c7QiIiIiIt5t5cqVbN++nbS0NIxCLvzGxMSwdetWQkJC3BBd2UyZMoWsrCymTZtGYGCgu8MREQ9gPxFZ8AGHwy1xiIhUCCXzRcrFqYmuAwcO0L179yKTXOc0adKE7t27s379+jLXtXz5cqKjo+natWuBJBdA+/btuffee5k3bx6fffYZU6ZMKXM9UjI+FjNT+7fkoQW7WJzYjRopaeT0WE5IVgAto/L2SZs6BXP1UPxuutm9wYqIiIiIeCGr1cqYMWPYujVvOjTDMDD9tV7NuYSXyWTKv+0to7nWrVvHb7/9RqdOnYqdYUPEmxlobanSciQlXvSILgKLSFWic56Uj8MwsNkN/H2qxrS/Tk102e12wsPDS7RvaGgo9ouHoZfCL7/8AkDv3r0L3d6rVy/mzZvHypUrleiqICEBPrx7V2se/HI3c7L68WRCMgsH7OShRSaangWTw0HqK5MIm/khPlcXvQi1iIiIiIhcau7cuWzZsoWwsDBuu+026tSpw6xZs7juuuvo0qULUVFRrFq1itatWzNx4kRat27ttLrT0tJYvXo1x44dw+Fw0KhRI7p3706dOnXKVa5hGLzzzjsAPPXUU5fdd8uWLezcuZO0tDTCwsLo1KkT1113XYnqCgtz/9oXPn9daPCEWMT1TMH+5++EBGCU4HN31zFiGAbpQefj9Qvxx9/Nx2lGtQAc9pz8+8HVAzFX8RGfOodIcXR8eDdbegDZF5yHg0ODMAcEOK18HR/exZQZALbzx0NgKT+3XLuDQ8k52BwOGocHUTMkEC5ThrcfI05NdDVo0ID9+/dfdj/DMNi5cyd169Ytc10HDhwAoGXLloVub9WqFQDJycmcOnVKixZXkIZhgbw1sCX/WLSXd23DeSopkbeGRvHiFw7qJAPZ2aQ++zShH36KJaK2u8MVEREREfEay5cvJzQ0lGXLluV3MJw1axZt27bl8ccfByAuLo7HHnuML774gjfffNMp9R45coTu3buTkZFR4HFfX18efvjh/LrLYvXq1Rw4cIAuXbrQrl27YvcdNWoUp06duuTxjh078vbbb5c76SYiHk7TeomIuJTdYed46nFMQLPQv2E2VY2RQJVRZEImtr+m/D2ZmEnNpu6NpyI4NdF166238vHHHzN9+nT+8Y9/4FfIInopKSm88cYbHD16lAcffLBM9VitVmJjYwGoV69eofsEBgYSFhZGcnIyJ06cKHGiy1U9FauStg1CeanX1by47BDTMx/jgcA3ePOedF7/zE5wDjji40id+DRhsz7EVMV7Y4mIiIiIlFRkZCQ9evQodhaNiIgIZsyYQe/evWnfvj1Dhw4td73p6ek89NBDDB48mPr165OQkMDnn3/O3LlzmTVrFoGBgYwZM6ZMZX/yySdAXhLrcurXr88bb7xBmzZtcDgcrFu3jmnTprFt2zbGjBnD4sWL8fX1LfL5ycmZZYrRmc71kPWEWMT1/DPOj0aym3PILcHn7q5jxHA4sGaejzcnLZssNx+n1vRsjAtiyk3JwmR1Y0AeQOcQKY6OD+9mT80it8A5LxNTtvPWJizJ8RGZdpyjaUcAyEi30rhaU6fVL6Xjk56N5YK/I3JK+b1OSM6E7Nz8+2lpWdj9iy/DU84hERFlW2fYqYmuhx9+mJ9++on333+fL774gjZt2lC7dm18fX1JSUkhNjaWAwcOYLPZqFOnDo888kiZ6klPT8+/HRwcXOR+QUFBJCcnX9LzsCiu7KlY1fRuUZuo5Cw+3HiChQkTuLHRa7xzl8HzXzmwGGA/8gdpk18iZMo0TGb1DhARERERuRybzUZoaGiBx3x8fC5pv9StW5cuXbqwaNGiciW6WrVqxTfffENYWBiNGjXKf7xevXr861//IiQkhHfffZfZs2czYsQIAkvZie3IkSNs376devXq0a1btyL3mz17Nrm5ubRo0QLzBW2HPn360KpVK/r3788ff/zB0qVLL1m/WUTKSIOnRETcyw3n4XNJLoA/U48o0eXFzCZwXprUOzg1w1C9enXmzZtH27ZtSU1NZcOGDXz77bd8/fXXrFixgt27d2O1WunQoQPz58+/pJFWUjk557OZxfXYOzeiLCsrq0TlpqenM2LECFasWMG+ffv4/fffGT16NIZhMGvWLD766KMyxVtVjb6hMX1a1CaLQHZGP8mZhibm9Dp/yFnXrSHz/ZlujFBERERExHuEhYVdMnVfWFgYJ0+evGTf2rVrc/z48XLVV61aNdq0aVMgyXWhhx56iICAADIyMti1a1epy//uu+8A6Nu3LyaTqcj9rr76alq1alUgyXVO48aN6du3LwDr168vdQwiFafoY1xKSFMXSiVhGAa5R//Etv9/GDnZ7g5HPIWHneMM9Xjwah52OFUIp47ogryGxsKFC9m/fz9btmwhOjqanJwcAgMDadSoEZ07d+bqq68uVx0BFyzEZ7PZ8Pf3L3Q/qzVvTPvleha6uqdiVWUymXjhjubEpGazOxr8Tw3n9+u+pH6iif5b875tWQs+x9KoMQH91fNSRERERKQ4rVq1YsOGDaxatYrbbrsNyFsneefOnZw5c6bAGsjnZtJwJT8/PyIiIoiKiiIhIaHUz1+5ciUAt9xyS7niODdNfWJiYrnKEanSLr4iVhWvkIlUEMeZGOzHjwKQa7Pie117N0ckIpWNyVT1Bmc7PdF1TqtWrWjVqpVLyr5wusKMjIwiE13npjgMCSl+XsdzPRWL8tBDDzF79uz8nopdunQpQ9RVk5+Pmf8b0IoHF+ziVHJbGsRF8vmtG6mb5KDjkbyvW/rb0zDXb4Df9R3dHK2IiIiIiOcaOnQoa9asYfz48UycOJFRo0bRvXt39uzZw/3338/IkSOpXr06v//+O/v27aNt27blrtP462J3YSOuDMMgOTkZoNSzdURFRXHixAkCAgK47rrrLru/w+EodEQXQFJSUpliEBEPZ7G4OwIpB7thx2LSZ1gYe8zp/NuO+Dg3RiIexQM6GJgwaSRXJWGqgiPJvXJxJD8/Pxo0aABAdHR0ofukpaWRmpoKQLNmzcpdX0REBECZeipWdWFBvrx7V2uqB/gQndCf4KwGvDfAzPE6f+1gt5P2wkTsJ0+4NU4REREREU922223MW7cOHx8fAgLCwPggQceoGnTpkRHRzNt2jQmTZrEL7/8gslk4tFHHy1XfaNGjeLaa69l+fLlhW5fu3YtaWlp+Pj4lDqptnv3bgCuuOKK/CnnC/PVV1/RuXPnItd3zsnJ4ddffwWgfXv1iBcPVsz0nB7BAy6wXswcXtPdIUgZJWTHs/7MGrac3YTdsLs7HBEpocqaHHEYDqz2nMvvWJlUzo+yWE5PdO3du5fnnnuOwYMHc/vtt9OzZ88i/52bbqMsWrdunV9fYc41nCIiIgpM4VEUwzDyeysWtq2sPRUlT9PwIP49oCU+Zgtnoh/CMAcy7W4LidXythvp6aQ++xSOtFT3BioiIiIi4sHGjRvHpk2b8qf7q1atGl999RUPPPAALVq04KqrrqJPnz58/fXX5Z4SsEOHDlitVqZOnUpkZGSBbbGxsbz++usADBkypEA7aeXKlfTu3ZsxY8YUWfaRI3mLnTdt2rTYGLp06UJ6ejpr167lyy+/LLDNbrczbdo0Tp8+TXh4OIMGaTp0EafxhMRXFbxIV1nsTtxJrpFLem4a0RlR7g5HxDt4wBSyxa2Z6q0choMtZzexLnYNpzMLHzBTGV3ySVbCz/ZiTp26cN26dTz66KM4HI4ik0YXKs+Xp3fv3qxYsYLly5dz//33X7L9p59+AqBfv36XLWvUqFHs2LGDadOm5S9kfKHy9FSU865vFMbzt1/FaysOkxw9AmvjOfz7bguvfm7HPxfsUVGkvfgc1d+ajsnHZbNqioiIiIh4tWrVqhW4HxoayvPPP+/0esaMGcPmzZvZtm0bd955J7fccgu1a9cmLi6OdevWkZWVRadOnXj22WcLPC8tLY3jx48XW/aZM2cACA8PL3a/Ro0a8fzzzzN58mReffVVvvnmG9q0aYPNZmPr1q1ERUURGhrKjBkzLjtlvYh4mYuv+WIo91UMwzA4mpCJ3W7wt1pB+Fo8YxKn05mnaVytqbvD8CyekEgWKVTlO8vGZp0h054BwMHk/dQPauDmiCpGFchrXcKp2YTZs2djt9u5+eabufPOO6lduzYWF82pfPvtt9OsWTO2bdvGV199xbBhw/K3rVmzhh9++IGgoCAefPDB/MdXrlzJ22+/TaNGjfjoo4/yH+/QoQObNm1i6tSptGzZskCvwuJ6Kkrp9W9dlzNpOXy4EXISenCs3mr+e6eZJ79zAGDbsY2M996h2lPPuDlSERERERHP0qtXLwYOHEj//v1p1KiRy+vz9/dn7ty5fP311/z0009s2bKFjIwMQkJCaNu2LQMHDmTgwIFlavOlpaUBEBQUdNl977//flq2bMm8efPYuXMnixcvxtfXl4YNGzJ69GgeeOAB6tSpc9lyRNyrCl5xkgoVnZLN0bi8i7kGBtfU8Yzkf0ZuurtDEPEOnjCiq8JrdD2bw+ruENyisk5DWRynJroOHjzIVVddxQcffFDkQsHO4uvryzvvvMODDz7ISy+9xI8//siVV17JqVOn2LhxI2azmTfffLPAtIVF9Swsa09FKZvRNzTmbFoO3+3riSXoGJtaRFI/AYaty0t2ZX/7DZamzQgcPNTNkYqIiIiIeI4TJ04wY8YMZsyYQfv27Rk4cCB9+vRx6UgmHx8fhg8fzvDhw0v8nMGDBzN48OBi95k9e3ap4mjXrh3t2rUr1XNEpBQuuaDqASNONOqlVI4lZObfPpGY5TGJLilEVRxqIV6hMiZHTM5fuUk8lNPnh7vuuutcnuQ6p2XLlnz//ffMnj2bdevWsXv3bqpXr87tt9/Oo48+SosWLUpUjit7KsqlTCYTE2+7ivgMKxtO3kdws/+w+KZMGsabuOlg3h+yGdPfwtKoMX4dO7s5WhERERERzzBt2jSWL1/Ohg0b2LFjBzt37mTKlCnceuutDBw4kG7duuGjKcBFPJMubIuLlWQJERHxXKX6BtsywewDFj/nBmEyeUQ/B2cymwrmKQzDqJRrkV3MqGwfZAk4tRXUpEkTMjMzL7+jE9WtW5dXX321RPsW17OwLD0Vpex8zCbeuLMFjy2ycTDmHoIafcZ/+5mpk2znyhjAYZD24jOEfjgPn8ZN3B2uiIiIiIjbneuAl5qaysqVK1m2bBlbtmxhxYoV/PLLL4SFhdGvXz8GDBjAtdde6+5wRUTKR4mbUnF46NsVYAl0dwgilYo59RS+Z7ZjWPywNuoOfsFOK7syjuhyGI6C93FgQYNZKiOnDr269957WbNmDbGxsc4sViqpQF8L7wxqRQPf9lgTumLzNfF/Qywk/DW63sjIIm3COBypKe4NVERERETEg1SvXp0hQ4bw8ccfs3btWl5++WU6dOhASkoKn3/+OcOGDaNXr16lnh5QRKqwi5JKHjk6yBNj8iCe+u74mX3dHYLn0bEsJVDUiBxL2kkATHYrPgkHnFpn5UtzFfI+6vtXaTk90XXvvfcyYsQIfv75Z+Li4pxZvFRCNYL8mD64NUHp/bFnNSIpxMS/77Zg/WusoT0mlrTnn8LIzXVvoCIiIiIiHig8PJz77ruP+fPns2bNGl566SVuvvlmTp8+zXvvvefu8EQkX2W8fOhquhhZGh6ZnMR5n+K+xD1siF1HYk6ik0oU8TAl/A6bM87m3zbZMpwaQmWc0u/iRJcrzpRn03LYdSqF+PQcF5ReNh76k+BSTp26sH///gDEx8fz5JNPAmCxWIpc28pkMrF7925nhiBeqGFYILPubscji0dgNHiX43WzmdHfzNPf5g0tte3ZR8bbrxP8zEuV8oQrIiIiIlJehmFw7NgxoqOjiY2NxWaz6W9nESk5T7wi5oEhSek5IwEXm3WGs9l5s0ftSthOz/p3lLtMEbmUybljYjzCxVMXptpSCfcPd1r5hmGw61TebGRn03Lo1aK208p2Jk/tDOFMTk10HTly5JLHcnNzyS1iNI4aXnLOVRHVmD6gO+OWn8JSbz5brjGzsBvcuzbvZJT901Isza4g8J4Rbo5URERERMQzOBwOtmzZwvLly/n1119JTEzEMAwsFgtdu3bN74goIh7A265/uPl6mGGzYT9x3CVlm7ISMHyDwSfAJeW7i6ceYUVNv1Ya6bZ0J0TiQbztfCAVwwMSEZVxja6Lf9D+l7iHbvVudVFVBiZrGoZfiGvKL00o7g7ADZya6Jo3b54zi5Mqpk396rx1+71MWHcUS42NLOlionG8iS4H8r6aGTPfw9K4CX433OzmSEVERERE3MPhcLBp0yZ+/vlnVq1aRXJycn4PzWuvvZb+/fvTt29fatas6eZIRcTd0mypRGeconZgHcL9veucYD/256UPOuGqnSXxCD7x+zHMPlib3QEWv/IX6ilMJjzx0mZVGEUg4hQXfVcc0dFQpw7m6qEVFkJlzME6LnpfbYbNZXXVTdqCb6QdR9gV5Na+1mX1lE0l/HAv4tREV6dOnZxZnFRBHRvX4KWOTzP5f5GYA04zq6+ZBol2mpwBDEh/4V9U/+hzfJpd6e5QRUREREQq1KRJk/j1119JSUnJv3DYtGlT+vfvT//+/WncuLGbIxSpPE4kZpKcZeOKWsFU83fqpZMKsyN+G3bDTnTmKW6p1xOLqfBlJfJ4VjLCkZbmknJ94vcDYHLkYkn6E3utli6pR87LcZRzzRrDwJwVjzk7GYd/WFW4VisCgP3EcewnT+DXtRsmf/8KqrXyfcEMHJffqVzl5/G1pRFgTQZCsCQfc36iyzBKl4n0rJ/1ClH5Jt4Ur9ezeT0evvIFDHsANl8Trw+1kFYt79vpyHGQ/sSDOJKT3ByliIiIiEjFWrx4McnJydSqVYtRo0bxzTff8PPPPzN27FglubyI3WGwIyqZjccTSc8pfJp/ca+07FwOxaZzJjWHHVHJTiq14i8e2g17/m2rvZTJBnePwrnoYp7DYSc++yzZ9mznVXHB+1MZeO7l6fIdS+bMs/ie3Ycl6U/MOc76PrqZu79fXsbIzcWRXMhnb7g2gVHxCjkuDAf2U1HFPMe53/zKOHXhxSO6fE2+LqnH/NdIMX293cclia6oqCjeeecdhg0bRufOnWndunX+NqvVysKFC7HbK9cfFOJcw6+9jv61/wlAcjUTk4f6YPfJO1PkJuWQ+fi9GDbXDTUVEREREfE0d911F59++ilr167l2WefLdDOEu/x59l04tOtpGXnsic6teIqdtgxZcbrCkwJJGZa829n2yrHhVRzsaO58Pie39GZ0exP/h9b4zbjqHQXt93Pk99T39Nb8m9bkgqZ0rISMHLKOeqtEjMMA+umDdi2byH3yOH8x31ituP/51LMya5Zy8+jOOt3+6/veXTGKXYn7CQ559JBBBY7BB6NJvBYNFSaa/cXvX8ump/R7GGdJy5eH9HDf+adwumJrm+++YZ+/frx0UcfsWfPHlJSUgoktbZt28Yrr7zCY489pnl6pVhPdR7A9SGDAYisa+LdAef/MM8+nkTOs8MxHJ77x5iIiIiIiDO9+eab3HjjjZgq4wIKVUhc+vkLmhU5ossvag1+p9bjE7uzwur0Vlk2F1ysquDvrf2iC26Xq912cL/rgikDI+X86A27w06KLe++zWElIzfdSZVUrmtSZT3CEnMSWX9mDVvObrrkuCmLUo8eFKzrfse2W+fmwjjOnoWcvJGc9hN5SS1TdjKWtFNg2PE9u8ed4ZVKmi2VPQm7OJEeWfgORZ6Syn+usiQfw3Twe7Ij13Ao5QAJOfHsTNh+yX6Bp2LxPxOPf0w8Aafiyl2vJ6ioRL7pr3qc9tNSyX6jKoJTE127d+/mpZdewuFwMHjwYGbMmEG/fv0K7NOwYUNatmzJ2rVrWbJkiTOrl0poatcnaejfBoCtV5tZdPP5QzZ96wkc/xnnrtBERERERERKzR0dPk05qZhy8kaPWVKLmwKp8olPz+F0SvYlUxcV50RiltPjcKSlY9u/D0d8vNPLLszFx9nlXr2RcFFc7r7AdkGn1vzky18xuTu0ymZXwnZsho303DROpEWWu7xsL0p0JWZaWXHwLCsOnnX7VLKO+DiMzEy3xuCR7Jd+LiYvOsYutCthJ/E5cfyZephUq5NGdJewE4XP2b1gOEhNOobJmnecXTziB8A/+vxvQUB05Uh0Xfwqi1+vsjw8azBGVfytdGqi69NPP8UwDGbOnMnrr7/O7bffTs2aNQvs06RJE+bMmUNAQADfffedM6uXSshisvBe16lUs+QdR4tuMrHjmvOHbdJ322DBy+4KT0REREREpFQcbrnwULGV2h0G+2NS2ROdgjXXfRd+UrJs7IhKYd/pVKKSyp68ynXCh5azez+OmNPYdu/AqDTTQbmHw8Omh/IUzhg0mJmb4RFxVJRtJ86PHNxwLLHiKi7iTTIKSepIYbzzCr7NcX5a3GRrKY43J75cOw5MRtFLwZhNBVMFlWE2NuOiEV3h/jWL2LOs5Tu1uOJqqqiKvJZTE107d+7k+uuv55Zbbil2v/DwcLp27crhw4eL3U8EIMy/BlM7vYkZHzCZeKe/idN1/vqjwDCR+NFSLL9Md2+QIiIiIiIiJZDtimnxPMzxxExOJWdzJjWHw3FOmmauDA7EpuXfPhRb9jicfaHP+GsaLlcqrKe+t7r4tTgwsJ+NxR5zupzLGVSe9yiPF2WYSqnAK/OCj81wOIo/bxS1rRIkFSpEJXifCh1lXAHHRd5xWfJzhc1RdFLMWzguOmm4+kzpKUenp8RRkZya6EpKSuJvf/tbifatVasWGRnl7ykiVUPLGq0Z3+oJAGw+Jl6+x0xGcN42h81Mwlvz8Fn/kRsjFBERERERuTyr3bOmtnGFkxeMnopOdn1Sx9XcMwrPuUqf+PKcF33xNV5HYjy5e3eTu38fjpjT7gnKmzg8d5SQw7hMQqgwds++8G5kZmJdvxbrut9xZJbyuqeXJnDsleEkWcGM0kxzV97j4oLnl3ad19xiRn95i4tHdJ17N5KzbOw7nUp8unOnwvSYb8PFgXhMYK7j1ERXtWrVOHv2bIn2jYmJoXr16s6sXiq5AY0H07/RIABSqpl4ZZiFXN+8bblZFhLf/C++O+a5MUIREREREZHSc/3UQBU70qMyTHV0oeiU8q/ZZVTi0TYuYb7wctVF640dOj87UO7B/RUUkHfyObMD/z9/whJ/wN2hXCI26wy/xaxidczK4keNXHSR2uSidXCcNeWi7Y+DYM0Bq5XcfXtL92QvO3UahsGWE0msPhLPmdSK7NTgZW9UIQr9mSzyt9N5r9dUyt8ih+H9nXOK6uixPyaN0ynZ7IhKwebETkjunLK5THKzLznPeiunJrpat27Nxo0bOXbsWLH7HTp0iA0bNtC6dWtnVi+VnMlkYnyrp7guvD0AJ+qYeGOwH8ZfR7E11ZfkKe/gt2+BG6MUEREREREpuY3HE1nzZwIpWc7vNe1ISnTC9G5lqNdDrkE6K9+WkGG9/E6Xc+FV9ApIBJY72ejuZGUh1ZvOPeas2Nz9Gl3NbsOSGgWAT+Lh8l3ILMV7VdKpzv6XdD4JtDthZ8ljcbhm+lenHVYpKedvp6WW8snedbE5JjWH5EwbDofBnuhSvtbyqARf3dKM6Cr+fF6SxNUFI7ouup9hzeVQbBrxzvid81CXvn9599Nzzo92Tcsp28jX+Ow4dsZvI8kWk/9Yaraz/p4r34FekpHc5tRT+B9fgd/xlR49+reknJroGjZsGFarlZEjR7J48WLi4p+ysAMAACAASURBVOJw/PUHdW5uLlFRUXz44YeMGjWK3Nxchg0b5szqpQrwMfvwcvvXqR/UAID//c3B9L7B+duz4v1Iff1N/A58464QRUREREQqxLFjx/jtt9/48ccf3R2KlENadi45uQ52nEq5/M6l4EhLxbZjG7n792E/dcqpZVe0XIfByaQs5yScqihXjbLLstmJT89xfvkXlHfJxTpnDb2p9C66kF7GtXZ8zuzE/8j3WBIOlmj/o6lHCtwvybGRarvc+e/Cz9yJo1tccSj5+JT9uV6WfM2sAmtOukrhSYjCP//STjd4abEXJroKlrUjKoUTiVnsOJlMbiGjmirDeo+OEiQVy/rV25O4i2RrMjE5R7Abed+HbJuLEtYlCDL3+FGsG9djPxODvQSvyffMdjAMTLlZWJKOXP4JHq4cZ99L3X777QwfPpwvv/ySF154ocC2a6+9Nv/HzTAMRowYQc+ePZ1ZvVQRoX6hvN7h/xi3cQwZuRlsbJNDWGoNRq1NAiA9OgCff79C0HMWrFff5eZoRUREREScx2azMWfOHBYsWEBcXFz+4/379wfg7NmzjB8/nsmTJ9O8eXN3hSllYHPyVDe5+/93/vaff8IVTi2+WM6+drwnOoX49Lwk181X1CTIz1Ki5114jcfssOZNz+MT4OToysD7rxsCYLM7WH8sEYfD4IqIYK6sldcJNduezdmsM9QKiCDIJ/gypRTFKOTWufulewNtdge+lpL38zbsdhzx8ZiqBWMOrlaqutzJKUmbiwoxWdOxpJ4EwJJ0FHvNFpctItVWcGSP2VT+PvYXf+aGYZT/4r+rlCSuovbxskSX+85lXvY+FaI0Uwg6syOByUSBYddZ1vPJysJGNXnbIVmY/8/em4dbcpWF3r+qPe8z9tyn00PI1GkyYBJIQtREDQoEb4z6YVRCgBb9UAG5KKgIAXwQ0E8TLzQh3ke4IEGQoIleURNDQtJk6KTT8zycc7rPPO151655fX/suXbt8ezTpzup3/MkvXfVGt5atWrVPu+73vddqo0eRcNW6Tv57z2hrppbWkYYBtbp04DAPHQAe9vNbdWXjMWHaV5uuurRBXDffffxN3/zN1x55ZVAfjIJIUqeXVdffTX3339/jSHMw6MdtvRezCd/4s+RC1P4P34yzb9et7p0PnE6iv63nyB00tvd6uHh4eHh4eHh8erAtm0+8IEP8KUvfYnZ2Vl6e3sZGBioKrN7927279/Pe9/73ipDmMdrEKtCAXOOFcLd7q5o5AIYiSkt18uoeaVdwEizae5pQiNPIKnx7gp3wdCmoq+F4mOJHHZBYXp6Lls6fjC2n5OpE+xb2NuRgrFemKnStxbnlxCCF0ZjPH1ynvFE6wo888B+zIP7MF54DqFfOF6ETYe6E2WvVb5+qcOwVm4K/Xbnhd9hLOuWl0mNsUyIcxO+69VgPfDoPks2LSobrp7zlc+i7PLyfjV4dEmJJJFT4/gy+feA2/rTyVVmjWzV9+Lodd3Y0iLC0Km8EtusXsuaX+OFf6+XZOzf8Y538Oijj/Liiy/y2GOP8e1vf5vHHnuMl19+mUceeYQ77rhjKbr1eI1x09o384FtHyp9/8e3xnn2ilWl7/OH+jC/8jFCJx5dDvE8PDw8PDw8PDw8usp3vvMdnnvuObZt28bDDz/MSy+9VPLkKnLHHXfw+7//+8RiMb7+9a8vk6Qer3WW0tOiE8PJ2uQ+JCFA2AQmd7VdPxJozYPs/OJc5AFzOyZKYehyltJyvqamDedP5P9pcX5NpzVSORMh4PBUun57DuyF8iYBa3rKtcz5RMZIo1ta7YmuGFPab2NFcGULrbbXblBaeg8JyTYJnvkhodP/iZydWfL+XLnA9MznxAjivtAsfb/nEd0MXViJaQkqJ51PlqidhBfmWM+mNZ4+Oc+B8Tj23j2EZhboPXiqq31YomhIEhX/X0Ysh4dZuzn/XgXP1ZIaGQcGBrjyyiu54YYbuPLKK+ntvXBcvj0uDH714l/jVy/O53oTksRX70qwf+OK0vmZV/qxvvrHhI98d7lE9PDw8PDw8PDw8OgK//Zv/8bAwAB/93d/xxvf+EYkSXJVfnzoQx9iy5YtPPvss8sgpcf5QtJIMaVMoXeYl2cxLKX/2MposO06fqvsBSaZatv1ByOBtus05FWgTALwuaw/pqjeQd6RgtYxPs08vOqhdZAnxdmXFGx/vp1LzmZG2TX3Ai/MPocpqr3PpBrj17mZd72Bat2fmzGkXQNJTejCbnl0VXzuV0ZRMglm0wqMPd+V9l/tOB9NtxxPHm3Q0buh8zduzrSrnqWMa+jCC/N9tXc8iW7ajM3MoBr5a5AK0ea6tX7YdQxJXRuxdsfe4cFlO5N0NX0fX5j3upKubomYnJxsu86GDRu6KYLHawxJkvjdbR8iocf54eQTWD6Jv747xaf+YZAr5hIATO8eYEj+FOH35FCvfd8yS+zh4eHh4eHh4eHRGSMjI9x4442sWbOmadnrr7+e//zP/zwHUnmcj+iWzmh6GFlTyZpZLotuXG6ROsZ2KHrk8zQtz/lO24q9FhRsbjoz4VD8Ob930net7F2aBC14ikj+Lhs5F4HQVOysQO4p5z07mToB5A2MWStBiHKUm8D0K13otBuhJ13K6DqDz+0HIH3NZVj9jXO51bQoRNct6gFL4fRc3iie1S08bWX7nJjL8vr1feegpwtfIe9ECIFq5ViaFUc4PkvFThHYQN5ref9EissuUMNWPRQrSa9lQzPP7A6u25mjq6P3XVs0llHo1RubnL+fml7jq+Ded9XQdfvtt7dVXpIkjhw50k0RPF6DyJLMx6/9M1J6kpfnd6EFJf7ingz3/cMKLl2IAxJTLw2yQf48kd/Ikbv+95ZbZA8PDw8PDw8PD4+2yeVyrFixonlBIBAIXLC7cD06QwhR8p7JWbmScUC1Ws9pBXnFyGRSRZYkhvpDSxqGsBVq9DQdtCEt8lnozqN0bsdxuZ7+Yr9zaZ25rMbGgMLWNaFlkqYDarzJzg8PFVvJYrzwPNlIgMgNN0Co1pig2zlCFdNM0lLVBc7RpLBrvK9qMfbtLX3uO3gK9dab2upjKS7FrgiPmM6dgzxd5xjTNvHL3Q0B6bwPY/HcOTJ0vbowbZPd8y9hL5xggwJD0aGl7VC4fgSg0glISBd+jq6UHWOt41i3rqieR9dyYc9X5+Yt5tB0YtkmsuRb9t93S0FXQxcKIVr6LxwOs2nTJjZuvHB3lXmcXwTkAJ+5/i+4cuD1AOTC8IV7FUZXFmNDS0zuGsT+3v1Edv3Nq8JK7eHh4eHh4eHh8dpi/fr1HD58uKWy+/fvZ926dUsskUenRNVpNs79iFXJg6W/TVZEO9vHbdmCF0djPHNqgUSuuJu38127Y/Ech6fSHJxMMZlqP8xftzkfDLbdl2D5r6kZ9ux00zKNlGRTKRXTEpyczbTfecU9l7KzyKmxqtwjrY7emXiu/b7PU6zh01BQquZe6dRTq5N51406tW3YyUR1iSbPuajxSOk+QlrS7C7Lhi1sXpp7kZ3TP2Im1/y5botzsZS5zo3zfw1tlayR5Znpp8ia+bVyQZtrUqMT3MdLCDcv3OaG6guJrJVoXqhDih5dbiueraiYx49ix2NL1r8TKRyu+l7j0QXEtBg7Z57Nh7u1X30G/a6u4seOHav736FDh3j88cf51Kc+RV9fH3feeSdPPPFEN7v3eI0T8Uf5wpv+mk09mwFIhS2+cK/CRHHXq5CYeH4F4rGvEtj5Oc/Y5eHh4eHh4eHhcUHx5je/maNHj/KNb3yjYbmvfvWrnDhxgltuueXcCObRNgPZ0/gtlb7cBBF9HoCQv7M/z0diCsmciWbavHy2qNDpfJfuaKxsHDg+m+2ojW7uEXZuSF6OP+POB2Nbu9hCkNUsCilJztm4CYTDW0C0P37F8noGX+osUm4BWZkrtStanGCqYTUp0Tx04XmjNzCXSSHZwXi05OUQatPLr8azs0s5uqrm0uJXrrgWI6nFq+a8dfYMdrYDg2+XmFImSRspbGwOxQ90te1l8/Y5T55LobTnMV3JWHYMgCOJQ5UtLlKipeB8lKl1hHNDht29vFrOnJSi4pN2dBRr7CzGKy8jrNp3kV6TQ7EF2g096OLRtXdhN5YwyVkKI+nT7ctwntNdn9VGHfn9bNmyhS1btvDGN76Ru+++m40bN3LXXXedKxE8XgMMBAf5yxsf4CMv/B6z6gzxiMnn7lX57LdWsDYWByEx/vwKNkrfQM2l8f38F0BuEqfVw8PDw8PDw8PD4zzg/e9/P//+7//OX/7lX/Lkk09y6623cuJEPj/LI488wuTkJI8//jgjIyNEo1He//73L7PEHvUIGenS56CZJhdqnnetHim1nJOhXpiaWuVIRY4OB4ZVVgIZ5vKH5TEd17QcilXd6sY4VIz3OVDS7h1PcHo+S1/Yz+tWRZe8vyJCOO9QB9daGB9ZjZdakMxcxekuGTnMFjwWzxMdrxSpvYeWnTdm9gR9SKZJdHISf18vZv+geyMdjJvUwQDUrDYu/UqhYMM6tW1WWk+XyKNrkYautJFiz8Ju+jMjbJTXsjKcjzBknjgGwSDBn7oNST73XmNaJwr1FsnqFrqdY1w9iiz52BS+alHtzeZmmFIm2diziVXh1a5lJGWewMxe13PnEuPQAezpKeR1QwSuubbt+pYwiWsxFLOVDSUN5mYr4edcfwPk/5/P0VV7DkCqYxS60KgcovDZGbiyOxn4VLO+17AwK7yQ1RxST2/p+5nMKKdSJxgIDPLGNTe21JcQAktY+NrI4tYs9K7SZmjrC4Fl8cvdunUrP/MzP8O3vvWt5eje41XO+sgQ99+8g7XhfKiWhajBZ9+VI76y8GPPlhj/8UqiT/0Lme9vh1Z+3Hp4eHh4eHh4eHgsM5s3b+bBBx9kcHCQ3bt388ADD7Br1y4A7rvvPh566CGGh4dZuXIlDz74oBcq/gKj01wJsqsCrIkXRgNFsVXPWLZMaKYz2fsiG6wYZ2tmBmPvHuz5+YZVhue7rAxyJIzvNkIIYtl8H2nVrG8AXST1ZmzlPRJ1TJOqYbHrTJxXxhKYNYbEJvJ2Ka+Iq6GrjkJ42XG55t1n88bMs/Ec0dPj9I5P0HdsP5KhuzexRGEIa6s0L+P0cGhmwG5oPDNy+BaOI+XOXYgwN44mjpQ+T+bGq0/qOiKTZjlYyjw88xmdKe0kqp1BsZLM6MMdtyWE4GjiMPPaHPtie5hUJjgSP0TWVCoLERz/cRckXzz29FT+35mpjo3v085QkvWaCXYW2tit4WZ5L1sxVF9IOHN0hidmXct1cpnOfIR123K8g0+l8pvUkkaCmLbQoIdyvVdyZ/nR9NOczZxpqTwAjnfrhX0nW2PZAtD29/czOjq6XN17vMrZEL2Iv735QdZF1gMw12ty37tyZFYVjF1CYuKFFax46XmS3/xltMzy/iDy8PDw8PDw8PDwaIWbb76ZJ598kk984hP83M/9HFu3bmXTpk1s3bqVn//5n+e+++7j8ccf56abblpuUT1apKh46FSZ5KbDrM2x0Vrb56NCyzU7i20vIhSYVGrDPLgPe2EOY191zqNocAmiflTcJ2vsbPfbr8A5Zqbttmu/NRI5g12jcY7NNFfS5+dP8b960uQ5MpMmoRjMZ3RGYg5DYumhcMhcnJ/d0tvb7gahxSCE4HD8ID+cfIK5nLtCtSMcD7pqWKWcfImcQWAhWToXjHWe46dmaDsJXYhTuVpdx47Ha5/ftnJ0QcooX29g+hX8C0cJjj0Li8k5s8h51XT9bMEz1Dh0AGumu3m05CXOPVaZAyltNt400AhbWFWh4I4mDjOVm+RovBzaT07VUfKf43eXcHo6ddi/jITkMvGcc8k6faqj9psjwPm8VnRt9vcuX3jKLhGSe2ue7aW6pmK7NXaumanSZ2fIwlwDr7AiGUsjbuU9/06mjrcsT/T4wYbnTdvkhDbDmF7Qib8K8hSes9CFTo4fP47lEqPSw6NbrI8O8cDNX+GjL36Q6dwUM70Wf/ybOf7qkdX0TM+DkJjatYJ1xjAp/R3E/8fDrN946XKL7eHh4eHh4eHh4dGQnp4e7r33Xu69997lFsXjPMBtt35t8Lhz66WyhA4EZFQD49heRCaN7+JL8F92eWcNNdBHRIM+FH3p9BVSf3/D8xOZCUbi41zcezG9gb6m7dlCIDcYdIFgLHuWbYPthxV76UwcIfLGlNW9IVb3lEPOuW1ad3pwCSHyilOHeHPpspFpeF7h8jXlsE7FHCoi0AvMnVtF6yJzdE3lJpnO5ZWaB+L7uC30c/jlLqje2nimRF1lZedhJNuq4rL+CCFKa5Xxyss17brdY0lL4Z/dXzhfzf7YXm7f8AsAyLmycUXKxRA9a9uWuVC7w3otYrewppgG5sH9yIMrkNrNY1YHN0PKUtFSfrY61JtpuiivFbIyD6yrU/vcXWe9PE/tUvP+LjwXWTNL1siyIrySoJz35hKWheRz2YTRUujC+gcaGWiFT77AzVxLPf8Lhi3h/O4wVI6O4L/sCgByVrVhq9EzI9n5zQwm+bVDsnSEHGkmTrm+1jiCWUKPk9XzHmUBycca/2UNy18IdNVUNzk52fC/sbEx9u7dyyc+8Qn279/PJZdc0s3uPTxqWB/JG7uGovn4q3O9Fh/5tQTpTeUY+DN7BojsSbLm0bt4Zc/zyyWqh4eHh4eHh4eHh4dH28guOpwFbb5a+dWi8t7tqHn6FNqzP8IcPj+Slk+MTJZCgFmjnYTJal/ptSK62LBRDgmi9XNmKYbCwfkDzOSmOBQ/0LSt/RNJfnhinrF4ZQ6rasOBEDCpTNRto6Gis+JU0YOoiO00Vgin0q8zyrJLpe8p1eTETIa0anbPe8OtnUUauubVam+qotFr8VTPW2E18FzqqqW5fSO523zS7Eovhtrzbq0GJl9Ezi0UzpdLyGoCOTvr7r21CI+ExeboqmjI/XAbxpFuhjk8l4auTj1HGzfanXCZXWWR60SRevfmTGaUOW2GM+mRchdKvVxei7u/DTfGSNK5H9suots5VDtdO0Iu3pXduMqyvatLY2bpjnabPF9N+60/V4b1ebozCstLVz26br/99pbKFV9627dv72b3Hh6urIus54GbvsIf7fow48oYyR748K/G+P/+bTWrh/M7f2LHeulXcrzZfg+PTH6eO97+qwR8F77LpoeHh4eHh4eHx4XLjh07Ft3GBz/4wS5I4nE+4+bRdSYzSqUfUG1C8taUGWEfWCN5A5c1fArf5i1I/nMbGMapt5F1zb1gmzhza5hnzyD39CCvWt2V9isFbyck5Lxa9k7JmvUUm3lSqsF0Kj8eR6bTbFqR3+ltCZuEWRH+bKl0V452beGW/8XdH6s1/Wm+QFI1MSwby7KYy2gIq1uK+6VXoHctHKjzOc80mBv1DF2dyNKBQt/tjtuiWU4uF48uoxzS8pRWDgMpKzMA+GInsFa/vrqOqS5iunfXYFBboA3JuvjMLmXowqC/e22347mZsTSOa9NE5SBXhtZ3SQAbSUshwoPNi+ac4Vaby26JWo++evemaDDUbLXssVvPUNqSYbuRfI7QoqJx6NELiQn1mOtxIdVek9mBl17d9b2hQaod91xR/W+b1FRrthZcwEbNIl39hdrsBS5JEj09PVxxxRW8+93v5u1vf3s3u/fwqMvayDq+9OaH+OQrH+dI4jDZiMQf/EqcP39iLZceyP9gSp2NYOZk3mV9jC/PjvFzd32ALSvr77Tz8PDw8PDw8PDwWEp27NjRcRL5Ypgoz9B1IbA45aqbR1dND8ossLHttgNOZY1lQYeGrtEFhYmUyqWroqzvD7dcT9YShPQ4WnAFAFIbobHcjClCkohrMQ7O7WVV6hSX9F2CLMlYJ45hAcFbftrFWNMJDWo10J1YdcKbVYZ+K6Kb7mMxpUwwr5fzgDVVVOot5qpqMi7F75WXJyhavzpQ7hVazKplz52MZiHspdyU6vBuMIw65dxxemh0TUnsfBcE/IC7V5dYhEdXjV5UT7Xfhsv8rvX+a7vZGvwuhq7A9G60vos682pbypirbdLpvJlM5JhKqqwKygxGuuOJaicSWCPDyGvX4ruo+j1yLvI6SnahD71s3N2njpGzdWJWlkFflJVdeM4CZ59B1pJYg6/DXPuGhmWtyfoesvVwC1Hnl1u5R83Wz1ZCF9b34s6HFrWRCkYQqyJP2rmMBrkU5Ow0rhk3XYbjbDzHRQMNwgK2QGlTkXODztqyMbY9D0vh1lwjAVzrl79d4De0Bbpq6Dp2zN1S6uFxPjAYWsFf3/RlPr/vs/x45hmMgMQn3r7AH/au4cbn8+EFlLkQkz9cwf+87X/xtW8Ps++2P+XOazZ0rGDw8PDw8PDw8PDw6JS77rrL+x3q0RTnDHFTPMq5GNWGrtbUJjVttazUrJZKPfgiuUOv4NtyDfvVK1s2dEm5GD0TzzIUU5hZcT250NquKKP3x/Zi2xqqpTCXm2NdtJzzxRo7CxGHh8AidKi2WLxqKabo7J9IEQ34eNOWwXI+rjpjcSJ5tK32Rbq1MGl2PI4xcRx53Xp8QxtcQxfWenB14kVU/UFIxY/579KShi6s/moNn8K/5eLFdLKIup3RKFtbI/zxNL2nFKxLBvFt3JQ/FjvRVhv5Em6hCRt7lXZsMHEzDFsq+FtTWHf3DdutcGUGgelXkI3VmOuuA9lVVV+Dbtq8Mpk3TJ7K6rx1Wz5X2WI9uozduwCwF+aQV69GCpXXb8Pq3vyuNwdCU/MQXV3KVwSQs8vG+QUry8pOcsnZNubhQwhdI3jpJmQtCYAvMeJq6DKPH8VOJPBfcSVy/wA2Y5XCt90/QMBh6Gq4trXRxXRuCsu2GIpuqLn/zudzNLcfCZmN4W30+VdhO+xqF7JHFxTHtPpJ1yy1Zr6lcg3CwdbBOTZGIZ9czVxusCOpld/55X4Wey+a9XVh32vosqHLw+N8J+wL8+nrP8dXj36Jfxl9BCFL/PWtMX6zd4C7nsi/1PRUgJH/Xs17bv0BP/7RWT4z/Ck++tafYKBLu2E8PDw8PDw8PDw8WuGLX/zicovgcQHQTWNoM12dsK22FcP+xALWsScIp3SCSpLUzZe2XDcw9TLFQIXr4nsYXf+2Nnt3QZKwRPk6cpZSc74rij0hGNHnOa3NcZFvgI2itWghbvfz5TMJIK/IHo0pXLKqp3HXtaI0EFMwl1YJ6hbRYGOFeuKFF7Av6seen0Netbqmn7RmEgk5ZelgNEvhmvL/+GqGZAmVcc7wVZa7h109aj26ukQ33AybPOC9R4bxhddjHjuCvGYtUijkUqoFQ1cLHl21rXY4Uqbq1lj5o2FgxxaQB1fUuZ7GqJaKX/Ljl5dWfZrVLAzLpj/ix58aQx7owRdUEYFojddaPTK6u6K+q++ITKZk6KrnUdptZE2HKLQTfq8VrDOj2DP5HHrGkQyhBlFr7WwmvwkCMF55icBP3ODovrPnQgiBKZoYWIRoaJ9wbqWYy81yOH6w9P2ino1IdcanvNTajKmHeX3vrdR6AYly+MQLFKfkKTPFgdg+4KLSsbV97a8PTlpZx9oaxmLey5rDtR7euJV08Whvpb8LGS8JkcdrDp/k44Ov/5/87rYP53+EShL/eEOWL98VwPbnf9hbqo8zP1zNm84c5Q/GPsTHvvkDXj4bX2bJPTw8PDw8PDw8PDw8GlNUtPhyasUxZ6EOPbps93qGZTOeyJEuhJir1KVE586WbAdyRkFuptSrEqDWyNDt0DtueVNq+2xf+WMLi1PaLALBuBGvyVFUj2ZhjdJqJ7vO63MmnuPwVIqTc1m0NhTXQs3Vabgj01ZNGwAUvDaE43i3VHFu3hNWQfHdjLoeSA5FYjNPJVsIJpMqMaVJ+Mh2vSs7VFgW559Qcx3VBzfvrYqQXqUytcr0TqinwC9iHNyPeXA/+u6X2vYam8lN89zMszw/sxPNap4bsFMdsWpYnJrPciaeYyFrIKux0lX5kqMtt1N3SjqNr11SZueM9ozAzaljjCmGy60nthANTtbHnp8rf045vFqd81Wp3hDRTS+nZm2VHVxbW3OOJo+UPh+r+FyJLWxGFxTG4o7n3KWPmKLzo5PzvDgaKxmsLbv991C7GLZBxqjvbSx0HWtyAqG5GLubIQTz6hxmhWdgoHZHRfNm6jffWsEmFNe3jK1VNVxvzjR/tj2Prra4/fbbF92GJEk8+eSTXZDGw6Mx73zdrzMUGeIvD3yOrJll5zbBfA984l/8hHImwpKYemkFgwtpvnbdn/Chf/4wL97wNj7wkxcT8Hk2Yg8PDw8PDw8Pj+VhZmaGJ598kmPHjjE3N4dhGAwODrJ69Wouu+wybr/9dlauXLncYnq0iCRsVqaOMGAAa2+EQJt5gh16ieMuYetqlSKdhi50N4TsHU8SVwxkWeJnLltV01Uzb45zS0HRU+00VHG6VhHUifSmXZ3bSVSa6JqMR1zRiac0VvUEO+i5PYX78ZkMxdglU0mVi1fVmX9OTychahTdQhTMXJUeNUK0bwAoVJD1TP5r4bC/YGzopoq55ki2nAcII4d/IAhmrioUnnH0CPb0FP7LryiF+HMjMjyBnEtgXKSAJOHbtBm5t7eqzNl4juMz+eu85XUr6Qu3pqbLOr13Ki+ljuJfMrKI8GDjhpvqQVsJXViLXWmuFIKxeI5pRWNVNEjA7+hUCKRCGLlGZCyN4hNiCpspPYXPCNBrmIQCICwLEVvIF8gp+Vx0bXh1nUrlwzYawuBk8jhXr7y25bqu1Bm66VTZiDaZVBmSqXC16b7XVNbM0hvobV6wCedqVdfXDIJK3bk3ZSa5vNudChsahXzsIKyvarVgkOlgUCWr2kjuvqmiuuF0ziDlsmnCso38e18qVzs0kWIgECGZMzkby6H7zzKeHWNz7xYu67+iGJOnZAAAIABJREFUfYFbwLRNXpj5MYYwuKL/Sjb1bq4pYxzYh0jEkXp6Cdx8S5WHUyvG3PwqWbkuLV7uUnt1NgVBreFZQsrLq+u1XqcFoRS7xTyaNfK89uiqoWtiov1kfE68GPQe55KfWn8br+u7lM/s+TNOp09ydLPEx+4V/OljQYZm8gtJ4nQP4YTO39/yV3xhzwTbR3+FT99xJZetbhwuwsPDw8PDw8PDw6PbPPTQQzz44IMYhlHzh3zxb6nPf/7zfOQjH+E973nPcojo0SZRbZqQkSaMH//8EcyhNy6qvUllohRuzTAFKc0ka5g0UW+7YopqY02NsaNAXDEKp0WN8qxLgQArGqzVGdgL85hnz+BbP4RvaEN79Z3aLalL0Xuc+atarJbRTEbms2iaiWZ1R8ndat+Ne6tuxY7FmI7LEInWKdFu75WNF3at+yNIenlHf1iPkWFN01Bei0GKFv7OFwJf7Dg+O0pgegBj40/mRctmsCfyuXnMY0dqDF1FsXyZHKGpeaSwD3tyPF93Ygx5/RDy+iF8q9cAlIxcAM+PxEp5lWqpHseTc1nwtZbrriSbi1dSt7x7KrFdjDOVHl0LWYOkaqCbNrMZjYsGwyVZJEnCP/UyvsxkUxkPa5Nca5ukLJXT+iyH4wsIU2bD2AI/eUVv224VzrOVhomkkWhYN1+/Q6+0BnO5nXx0rZbUO1Sat9PhXG6WA/F9APzs0FtayhPWmQk1j21braYya43CfG3F47dQoWmJ4fSpjtpxerQ6kZW5KsOcq8yOeaTW8d5VrFRNvcp5ndZ0ZrV8CMczmdGuGboU3WIyqbKmN8hAJMB4dgyj8PvjROpYjaFLCIFI5KNuiWymxojttDPVerXXyrCkRqGq8ZdKx6InxpD8Orp5HCwT32VX4L/4dTXVK0x4hf/XkbaZo+9rIHRhVw1d3//+93n++ef58pe/zJvf/GZuvfVWNm3aRDAYRFEUzpw5w9NPP82+ffv44Ac/yHXXXdfN7j08OuKino3suOV/8+XD9/Mf4/+X6ZUSH7/H4vf+08ebj+RfEOpCkLEnVvHHt3yH/5BG+O1vbefdb76Ce9+0Eb/n3eXh4eHh4eHh4XEO+Nd//Vf+9m//FoBLL72U66+/nrVr1xIIBEin08RiMfbu3cvo6Chf/OIXWbNmDXfccccyS+3RjFBFaB5fenzRhi4oK0fnszqGZbOgGqw0LCKBgiawBR3JmHoYU53hspzO2si6uvUsh0YpnjNqCy2GOnlNKjfJGntfAcBcmM/nFvK3oOpoEgKoiQjN6zTyomvQ4ESiHEoqoRg14QQrq7Zq6+mKMcPRhHbyBANTaZJXvxE7Wt4EKkR1f4vK0eU0rsl53zNL2F0ydBXatzRkZQG7Zy1SweNKykwi2SYIkVckF2vkWgjpZ9sE5wpKWMfF29NT2NNTyD/7FiRfG5p55/gbJvjqnRauIf2Ei7HBdpo33Ye+viAtlqn06MpoZWN45fqR93qUqoxcjXpUbYMX5ndhKcMAaIYN2MznYmjmJkKLVF3LagK74AHnk7ppRXH000j53LKhhbrrivMJbDWMqi1sMkaGYN18QPU5lTpZ8fkEVwxc2Vb9OhLVPaPbGmHa9YaucoN0nkQxs+yeewmA68TFVPnXdpAzb0Gbb08+Jw3WcV/8NNbKWr+2evPWJ7vfT1m0t14LIZAsFSQ/+ALNK9Rhz3iCrGZxej7LW7auaW5gNBwe0w5vqHauwbR1/HKw4XtSGAZSwOX6ir8jOlhqgtMLBOfjSJEeCBfebadOOAxdjg1txSMtb/ZwCta4kqzMtNLoeU1XDV2GYbBjxw4eeOAB3vKWt7iW2b59O48++iif/vSn+eY3v+kZuzzOC0K+EH907Z9y1Ypr+F+H/xotqPPAnYITQzLvftpGtsHSfJz90Sp+9po9XHPFaT74/B/w1Mkr+fTbruDyNYt3+/bw8PDw8PDw8PBoxLe+9S1kWeYLX/gCv/RLv1S33COPPMJ9993HN77xjUUZunbt2sW9997btNxnPvMZfuM3fqNpuXe/+9289NJLLfX9wx/+kI0bN5a+a5rGww8/zA9+8ANGRkYQQvC6172OX/zFX+See+4h1EY4qvOWDnWyrmqpgvLYKHkECVTDLhu6mnSm2Qppc4GIEMyqMxWGrtp6psPQZdnOLFoORc1ijS7NNiTrWhNDVyPpyucDZpqgkUIJraMT1YnTq2VWi7HGvgi/w+1AWFaVwcMZ1uiZU+0rRzse4kb1nB5qha+9I8dIXXVD4ZibN0InwrgbCUVBaTuT1hkaaL21lDmPjAy4eEsJQXBsJ5KewerdgOXfApaBLzPlLkoTLzsJid5Dw/jT2YblhJpD6mlDj1Bn/MsHHJ9d7oVkuRihHeXcvLHq9lOviJu3RE27rc8Vu85xXZiYllrzdMoVHhOLwRc/hVi5FRHqa6l8Wf7G/drz84h4rPS9dklzep02CaPXJq0avvct7CGux9iSHWdTb95z0ZqcxM5k8G3cVAhT6t6WYpXnf85qLd9b07WiwemueyYKm8PxgyWvomPJo1xpSozGFWQkLrW6nS2y2G/9g+apkwR+og8pWBvS1j9/uGzosgzk7AwEosg962saFjR4jRYMXZXn5/SzDAZq2wEgO0Vo6mWE5EO/+PaqEK/tkNXKhi1Ft5p7ADq9y3UNKD+namVY3TqhXIWA4dweLGEwFLqc9Vzs2pU1dhbz+DGkwUECN7ypNaNvCy5kgUSm5lirzdXfh+A0wIqCUay12SqZGpga+C/c39RdNXR95Stf4brrrqtr5Cryy7/8y/zTP/0TO3bs4Gtf+1o3RfDwWBRv3/SLbB3YxhcP/DmnUif5wY0Sw+slPvqYxUAWEBJzB/qJTqn8y02f5rPz7+Heh7Nsv2kz771pk5e7y8PDw8PDw8PDY8k4ffo0t9xyS0MjF8A73/lO/uu//os9e/Z0pd9169bx1re+te75rVu3ttTOW9/6Vq68sv6ubsMw+O53v0sgEKC3Io+Noij81m/9Fnv27GFoaIi3ve1tAOzcuZO/+qu/4qmnnuJrX/sa4XB7YbxeLUwmy+G16in7bMlfredoohS0RdHjorny0HQonIwKQ0DWSuCz4m0pIYUQiIUFpGi0jnKm2+pFN0OhwdDCC8jCJhVNokc7yc1T7cEVM5JYyiQbezeVxt84dAB7ego2biR05VVAraGrK85YLbbRjlGqeE8ly5Gnq6aV+srwBo07WsgzEBsnvmoLCUWHFg1dSWOGCe04ADFtDUOOfiQ9hVTIBebLTMLAFnypMy69F2gy/SRVa2rkAsCszY9j2Bovz70IwLUrryPkyysbVcPipZEY4ekU12xeQW/I38I9rS1QpQwv4DQiOT28RCCKZCjNOiuhWmqVkaNuu66xw9wV0u3uAqivxHcrLFWcqK3pS45grm31+W/BO1TXMfa9UnUsozu9V6rlCEy9jLHhps57r3E+ai6nbunE9bwxLmnE2UTe0GXPTMHMFEgSYvVQoyZKONe0siACbAN8reYibOBx05HbbSPLGWSMsiFCsRTGEjI5PT+PT81lqvOC1Qnr21SEdtbcVBLz5HECV13TsJw/dQZJzYfa9IXcgxY3NpRUv7sMoaLbKkE5XFPPP/ECSD4kYeKfO4Q59KaWrqUZzQxdwna8d7TqsKxG0w0J+SuxCobMKe0k2+oYuszj+bynIhHHnp/Dt6ZeeNny/Wx8XwvnWpmzTs/ztnP2icaWzcpbXfySnYWB+rknz3e6aug6ePAg73jHO1oqe8UVV/D44493s3sPj65wSf+lfOWWv+fbp77Jt09/k6ObLT7+Ph8ffdRiayENnTIXQn08wH03fJObNx7hvhfey9On5vn0W7eydZ3n3eXh4eHh4eHh4dF9ZFmu8nJqxJYtWzhw4EBX+t2yZQt/9md/tuh27rnnnobnH3roIYQQbN++ncHBsnJmx44d7Nmzh9tuu40vf/nLJe+tTCbD+9//fnbv3s2DDz7IRz/60UXLeCFiWJU7tfNKEMnhZWXKtUZA07KZyWisjAYrQhpWK3ylFnYlV/ZfiWZnOZM7wDpjjLidRaK4Q7ixcscaGcYaPgWyTPCiWmMAwEgsx8aBMEF/CxsNaxRD1Rof3dZIqybTaZX+cIANkkRUGUcu1OtXzjIv2jd0OcODSUKQMOJsLCiMRS6HPT3FjDLD3MFDRNfDtsGrliRveaXSTQjBvDZPUA4wEBwsHgSKod/cKSoG06pJX9hdlVRUyS0yYlzFPKz+t38mjXypTqsd+GSpZOQCGFs4QHPVvCgpiatEsC2QfU13xrfssVjxjAaNJIOZUxyREkRWrALgePIo1678CQCePb1AuNDuiZk0129e0aGnXC1OA4HTo0v4ww5DV3X5uKIzm9G5aCBMb8jPczPPNu2naFsKGsn8c2bn14akkWS17pJHrI3ryZdvQ5HcaptdaMoaPoWp1no31YQnlaWqeSYXvQub0F2DdpN1enQEsar2afJLtUYrt/4kNU7w7DP586F+9M0/29BYZQsbzVTorVum+x5dTrkzFV5HcaVLec5q+m2yCWVqEuoYuiQ1jgivqFq/fLlYS+0WSVsOD+JCNVNoBKk1dFlC4C9MVclszXOvGZIEEV9jzzCRqfaGEo6NA4t9j2Y0k+OzGSIBmYttC1/BE1so1Ub/lnNlOcfftAjEUy3I6t5+/X6rj/vNLCDT1gahCzxPV1fdT1RVZWamtXiOiUQCVVWbF/TwWAYCcoD3XvF+vnLL33NJ36XE+yQ+8y4fj/yUhF1YH2xDZvLFFdzy0gEe45Mwf5z3/ONevvrcaM0PFQ8PDw8PDw8PD4/FcvnllzM2NtZS2ampqYbeU+cb4+PjPPTQQ2zYsIEPfOADpeOKovCd73wHv9/PZz/72aoQhb29vXz6058G4OGHH75w/r5cQiVClYK3aqduNRKCw9NpDk2m2TUax64jUyjj8ORoIXRhkRltuNTbjJlyLeOGNXwq/8G2MafmXdU5adVkPFG+36phkVJNV0WpM1eRWxiyw7PTKLrNdEpDMy1Saht5cerQ0MNAiJJibk6bAWwmlQl0S6vv/dACxXBNbj0H5LwCelKZ4EBsL7vnXyJTkR8OwLAFSo13SVHm/D96g53yxfxcoupYJ54W9b/WGl9bx0oMNy9UNyZg4d86871My5nTSp+GYi8S1eYQmSNIRl5ZPKfOVonkbFU0kkOUw6oJIUhZOcy6OW8cz0fR0FXvvlUct2zBS2cSjC4ovDKWbGqoqCRkJAkbSYJmGjm3AMCB2D7GpnYyaSSqyraUR8/xJT88zonUrJ3Fe5M1bD2bAcvCFjZxLV7lMVSNi6rW6tyw4uJj2XFbJXStbNiuIOrrb6l6YOL50mdJSyFnp2vaqmQ0M8qwMsZZI+ZeoMvvValBPjC3/pqN6Ujafe3pZsjF4NizJe/UIjlbdw1H6pbDDyCpT6O1Mde6ZXB3UuvZ7Ni8c2CfQxCBLQQHJlPsOhMnrZYNX5U+m40odmHZJi+cnWAqleaH4z9iz9xhckUjnm0jHF7MqZzJmUTxt1Ira5UgMla2nTT7reDWaqvzpj8zXDVX7Qaeh4pduO966yEVz0e6aujavHkzzzzzDC+++GLDcrt37+bpp59ueTeih8dyccXAVr76k1/nnsveC34/j/y0j0/d42O6wvs3dTaK/ITJP8U/y69L/83XXzzDb/7DK7x8Nr5scnt4eHh4eHh4eLz6eM973sOuXbvYt29fw3IHDx5k586dvPe97z03gnWBz33uc+RyOf7kT/6ESKS8k/fHP/4xiqJw7bXXMjRUu3t827ZtbNq0iWw2y3PPPXcuRV4ES7cprtLQ5VTDOUtOp/KeE5ppE1dqc/dE4ylWnnV4ErgZuhyGj2KRSgkqjSP1FGxuCNcNhAXPIi2vyFJ0ixOzWUYWFOYyzXMQSWq86rhuCnS7vBNds2rj/LSjzMuZCscTR5lRp1uuU8SwzaZmkkaSWHWUXwIIFgxdx5JHSsePxw4TnhojNF9Wus2maz1qWkUgsIRFRjerjrrRaBd7eR4XylaeW8xGfTXpJomjc4FlC1KqmZ+3onwcwDxxbBEC5NFMG60ih0ylF1hOSYNwCffmlnul8mvF5/wzlj9yWp9jlzLC89nhkkFbNSyOzqSZTKo1oQtr5noDhWq24j6rhtXWcxKqMFhIegb/wgmEGuOUOslhdZIFs6xsbUUR7DjYPQW8M3RYEUvDt3AMOT2J0DTMUyfwzeavSTYUJDWV9wJ0YSY3zYQyxmhmmLjWot6orqGyokjd4w0sx3WpfdAWsjpHZzLMpQsK8UXk5KvJF2c1WHcEKGYGhCBlqRiuY9Fh6MDSC8s5Ro3bq7WHN77u4fSpNiWraLrlgoLg6JPVxySZBW2hppUmURvL1UvfJJez9fPndRu1hTxvsazOVFIloRgcmU43LlzXji/YNfcihxIvc1LZhWlrZHWDKWUSAOv0SfRnnsKazv82smyb0ZiCojnmpHP+OD2t4o3ls2MLmCOnEbrjWWs63OUCpm0yKWIctyYwCuGoYxWbCCTTJDQ2Q2C+OtSsNHe0WSfnNV0NXXj33Xfzuc99ju3bt3PzzTdzww03MDQ0RCgUQtd15ubm2LNnDzt37sS2be66665udu/hsSQE5ADbr/gdbt/wC+w4/ACv8DIf3+7jPT+0uX1/4ceu4mfmRwP8/sX/wtuu3cXH4x/g9x7Jccfr1/KR2y5hRbTVmMMeHh4eHh4eHh4e7tx66618+MMf5n3vex933nknt956K5s3byYSiaBpGlNTU+zcuZNHH32U3/3d32Xbtm1MTk7WtLNhw4ZlkL4+O3fu5Omnn+bGG2+syQV2+PBhAK666qq69a+66irGxsY4cuQIt99++5LK2g2kOgq0rqiLKpV2VR5doqFiy2lzkJBYOzIOslPZXlvX6VhS9n9xeMIUiIyeRkuO479iK7616+oLBWBbTcdlJq2VykylVC6qKeEwdFkGVOikUqpZtQNYassUV8uh+AFSRgpMg4BlE55IIlkC8JUlEqK2FyGwsVzsLqKuUShbz/vKgXDzbgH8ZyaIjFXPx/qOQnUMK4WJ5bNy9I3vwQxpxNIaxX3VrZockjmDgUigqs1iL5X1/YaGYieB5jlEnMOWM5xGWYE1MYExNY9/3UokWSY48gQTWZ2cYSNLsHGgmJqgIIWm1rRReX/cQhdOJVVMW7C+P4xqWAwvKGRGYtw0uKKm7NmYQh8aFw00Dt0l0dqu/hE9H4pMEwYLVoZ+4PB0mvmMDuS4YUu5H8sCy+9cnxzPT+WTXTOFWzc2CMdnSU/hi6UQ/rw8x7UZNtsG/b4wQalWdWk5vdwcLl2u6b4qBBa6jjU6QnAmh7FqCKQ6vpR1xtg/dxhf6iwAemoNViJDIH4S39WbkdOTSIaNnJ7AHthcU3dBy9+ThGIykz7Fal8LeS5beIha9fJw5ktr3m7+36IX7WRKZWVPoE7h/D+SbuQ3XIRa1YVJLa4UoNq1GxokZZ7g9D5EeBBj6MamIUYB4lqMMwtHUbUgV4b76KfieWw7r2Cdw0KwoBgYpiDgr5XJec0tvX3akU2SianzrA2vr9tnVfG8Wy6lp6vwQihJblv4MlmsvnwOzaq2uuSdJkm1Mp5IHecNK6+rX0kIEjn3UMcACxkdqTdENFj5tq99p8X1GDmr7Mneu5DIG1or8w7aNuahA/jWD9V4tIuaD3Vw/raqoJS7E9D1ccKXDVU05/67qny6fHxSmSAndNJ2jrP2HJf6hrAqjMThMzOEpubxJeKIgA9z4NWR57arhq53vetdjI6O8u1vf5vnn3+eF154oaZMceG988472b59eze79/BYUrb0Xsxf3fi37Jz+EQ8e/RJ/d8cMey+1+X//w6av8Fs3ORpl3eQC//KGT/LXG3+dfz5yKz8ejvGhn34dd16zHnkJ4q17eHh4eHh4eHi8NnjjG99Y+vy9732P733ve3XL7tixgx07dtQclySJI0eOuNRoTDqd5qmnnmJ4eBjbttm0aRO33XYb69Y1MVQ0QQjB/fffD+CaY2t8fByA9evX15wrUvT0Gh0dXZQs54qWc/gUMXNIpoYIuyeVr6SoHHKGd3MzqrjXb/y9UZ81x0WlF1f576DQ3BRE1mEe2IfvLW91q1puw83q4jikNwkb7/YXmKwlQfSU2rOxyFlJQnJPfoe65Ah+4/Q+aEDKKIdpDE2lCM7lFWRCloHVANjjY8grHEaOQugl97vg/nekVccqVePPJ6gKT2nbglPzCsaBEVYGtjS9plb6WJM8gK8nh0mOIVKcLWTDcpsfdipJ77H96D39qBddDMDe8SQ/c/nqssB12HjyMDqrWpLRL1ffR+co2vE0RvwYYn4GoZsEt6wHUTaI2SLvtRSF+h4ehgHBvDLfVrIEd1fnRkyqBrlcfld+rNJz0rI4Ou0eImouo7FxMOo46u65VPesEJgOmf0F42PeyJVnKpVXZmQ0i3Qqx4LsYyhiU8eMgZydwQr2lvooEjMmOJ6crVPLRaFfIZtdNY/zn7O2xlFtCgmJG6MXV9XVTJuZtIYkgT+iE8jq9AR9FSXsgqGr/jwyTxzDnp4iOpUmOHwSdWgTrKxbvEb+opELQJw5zEIoPybhs+UQdbIyW23oqggbNpfWyRW9+ipFL+Ccq5JobvSvh9MA1nK4PAHDC1nWJFQ2havXQFvk/3N9vtMpBl4+CpJE+upLILwGLA05O4sdXQP+9hTqoeli3qhawzdAZHgBcfxR7Eu34FuRQ85MYfdtYCGrI0mwss7G8zOZESaSCj47yVxijCH7Fvxy2XOpkUEoOnIc1vU0lX14QeHUXJZj2QyvX9+Lr8bA0fxe1MrRxkwoePLWD8naGH86CyvL76DQ/lfoU06hrVtF7rKNdb2Iu828Ote4QOn96Xau0EZGY/PKSKl8bTFR40m7+uwUIuBHrhMQr16ftetxlaiF3wPuFI1cAFY8BVWZJcvPQKNNMAApIwkCAqpBzJ/hUsAn+UqylJ8rCMQVz9DlhiRJfPKTn+Tuu+/mBz/4AYcOHWJmZgZVVQkGg6xZs4Zt27bxtre9jTe84Q3d7NrD45wgSRK3Dv0sN659M985/S2+K3+bP7xI471P2txyNL9aWLpM4uUePjz6fX7x+hf4OB/gL/7b5LGD0/zRz13K1UOtxSz28PDw8PDw8PDwqKQbuRw6aePkyZPcdtttZLPV4U0CgQC/8zu/w4c//OGO5Xnqqac4cuQIt9xyC9ddV7tbN1NION7TU1+hFI3mFcJO+ZwM1iiOzz1+v0zEjBMM1/4pHg4HiPaEiFTKqWeRTu/Mezat2QZrX19Vx7YF0Z6yEk+zLHqiIWTTJBDy4w/kNah+JMLRfPsAkYEo0Z6y0nVgIMpgTxDdtIn2BJGsAFrAhyxJhIIBotFCvf4wfsc4Jm2I9pTDTvX1hhBCRfhShAIBAkEZn0/CXzAeBUJ+IpEgkiTREwQ5Wt1eutAXQuDPWviiQYLZvJI12hMkkA0QCuXHLxoN0dsbQg2Vx3NwIIrck2+ztyeEbUml8S5dPxa9u0cgGCASFiTVDDoZgoTp7buFsGQQ1MptRqPBludPT6Igvwk9sRwU7gGyH0pjaRHtj5CNBAll8yaFnkiI/v4wPkVGkqTSNYZ7AnnlVIHe3lBJlkFTEM2WjRYDA1F6Q34ic8FSfYBIJEAk6mdwMEpPIsR4IoeQJQxZqyoHEAr7S/e7bzBaml+SLggV7l00GkI2LEIhDTvsJ9oTpD+RJhyJIgVMetUcoWBB/kiA/v4IPYV+hBBMPvt/CWTTRHNpskPrsPoG8tdTuC49JtCiISTVj7D8yH5Kisb+dIrkirUlGYtyutHbkyGklK8vaPtLcwAgd1YhGlmFFApAPEX09VswMgH8gbISMhjM14kMRCAQKc/PAtGAjT+5ByyD7LhNJBIkVGEmyuVEzRgDWJEAwUiAKJTmp1/3EQj6ECE/PT3l+xztCRIO+wmG/MiShM8nEYn48fcECZn5uqGgH9vyEZL92JEAgZ4AYX+AoFGWJdoTZrDingJEohI9doiRRIp1fh9+WWIuZ7Kh8KxLC0HwVVyzcgKx8VKk2SMEZ4cZMlcx0bOeuHGGlLSCHsf4FOnvCzPYn7+e0NrV2HM6si8/zv6gj2CoIKfPD75qM9usL1M+DyzkcvgDPmx8JDSTAQG6ZuEvGLvCYT/9AxH6hJ9shTw9g9HSepNOxSAaIhTK4bMFodgUYv2GqrU5GAqAJBGKhgj7q9cAqWIemZEgMWOWUDAAPTL+gB8Ji1AoQLDYv6kizR4FYeHDwoDS+uycH2G/n3A0SKCij0h/GMKN1yAFCV8qvx5Ee8rypn0ReoyK56U/zGBf47Z0y48+I2Eg4fPLTGV1x5oSxD8QIRorz0GAUMBP8MSh0vPvm4vT+7qtrEjt53TsKLPYXP76X696DgFEfwS5N0JPpvq4nMzkxxXA9IHlIxoNErTyx3xxhUhGJxABzkwR3bgaEdKZkWWOLOQ9c669KMCWVbW/IYLBAP6Aj57sJMLXm383FeSO9IXoUcuy+HJBgqGyN4wsSVVrULQ/jK+/dkwnzyaI9gQJGj4yJmwYrL6+vr4IPWb5mN/vRzEh6JdLxttoJEjQV35m1WCGQ9ZZInKQ63o24XNszAjqFc9PNMBAfw8D4QhSLIRPlvDJEuFQgJBcuy75hUUw6CdUYTjuFRbRniA9qkbE0jGDAULxFHI0RNgIEPUX5A8HER3+zqpckwYGoshmlh6teqwqnz/nOhzqj9AXDRNVq726QoafgG2Wn7XCXOqJhjD8fkKhckjEnp4QgwMyEaX8/vQHfAQCMmv6VlXdb8i/dzJT1et7SPITNP2EJLv6+c+lSu8pSTMIhwP4tLws4YifaMR93ZRC+fePbQuCvgBEgtiRIEdjOXRD54bNg6wNPAPwAAAgAElEQVTqrXin9YYwC32GsgFkn8yK+QwLK6MEg34G+qOltSAUDOStbgEfIuDHH/AzrRjIqslm6fz4zdwJXTV0Fbn88sv5yEc+shRNe3icF4R9Yd53xW/zjk138g8nv86Xen/AM1eb/NYTNmsLYb+VuRDr/3uOf976KR647J08Ov3TvO8f9/GO16/lgz/9Olb3ui9kHh4eHh4eHh4eHm4cO7b43DCdkMlk2L59O7/yK7/Chg0bWFhY4OGHH+Yb3/gGX/nKV4hEIvz2b/92R21//etfB6ibT0xV894GgUA9/wIIFrwpimXPd2S7fnidGlITpTwv0txRhNPQVZOnp/DdbQe/I7RXJc3iTizkFhgIDbh7SDiO+dQF1kw+ywrlGMn+rTVbm6vyLakqRN2VKRMLR5k3RunVgkBFmcrwY0JgNkiuDu4edLJSNsxVntVtFcu2asJL1gs32RhRiMHUKMRQ9TZvgUDKZOmbnie7oh8rGMA5gI1M1Y3s2FpFDpxciyEPGzXuGqKpTr6khaxeMnSNZ8Y5Ez/NtKqwLnwxvnSyZOgqYudyWMLkVOYslpokK1r3qKvuuVqerF2dB0iYZo1WrL7jgyCtmrW76GePgJnPcWYPD0O0+lokyyBkzKEHBxFyxTpWaCfkd3HnodoLMhLw1fObdFZqdDaPXu1FpugG+EE3rUIdUZV7y/WexoYhcQZsQV9mhBExU1umkaRWozXQzdOimmLOP+GiqId8GE3XTR1NNnrIul570K1OQw9P99VUSk1CYe0XqTGQh+qWxe0d0cIaVO/q2sm7VolW4S3r9HZJqQZhAabj2RRCILTyOPrSeWNTJj3JiVze4+/l6Rd5u7MzSXK9Z7JS+V6v9ejyueSXxBdgPF42YByYSLoauuzCu0MStsutqD9GOSuNLQws0YuvGFazhTF18/5xhv6bzWhYBQ/QiwYjBH3VRqyYusDR2d1gaWQsjRF1nssia+t3KvJGuUY5/ZqdkOy8R5fk8q4t5ugSpoUVTyHbNpIsM6PMYNkm63uGkJ0e0s4uu7SJq5F3UyuohsFY3GLfWG0uR3+dtSatuq9lDd/THfhmJszifBbMpzV6bJWgHOb54QX+x7Xu4ciLw+qvCOl4On0GwmHkTDk8oyUESdVgOq4wFDSQJYnMZIqrLlAnjSUxdHl4vFZYG1nHH137p/zaJb/B19f/b/5w89P8P8/Z/OIugU8AtkT2aIjfHnmMd171NH+y8QP84Ag8fXKB7Tdv5jeuv4igv/Gi7+Hh4eHh4eHh4bEcXHXVVXz/+99ncHCQTZvK+XCGhob42Mc+Rl9fHw888ABf/epXueeee4hEGueUcXLy5El2797N0NAQt956q2uZYpuGUV+xqBeUk+Fw47AriYTS8Py5YHAwiqyn0V2UI6oEiqKjVcjpS2bwZ8vKeS2hkDMsnj21AMAbLupHqfDo0WwNOaTl66gmZiE0lmGa5HI6SkEPpCeyVfVSqRyyYWJYNkpWJ2fpiEJdTTc4HRumx9/L5clr8IWqxzGZUqvaCkz/mJxmYuoWkbmThKZVLKscRk3XTLKKhixJGEkFWa6+b5qiYdoWU3PHsSMS4+kptuQ2I0sSSlYnqBjIWn789p+JMbkiwQqtPJ6JpIJs5JWmWUUHQyuNt1IYS0W38en5OaXr5XECSKU1MqaPnop7lE4rNfPHjsexzo4ir1qNb2P5+cgWjGiSqROyLSSzoAiUBbZuoBTOGwkFTdHQCnIoiko8liK4Zy8D89P45hJMX74FJavhk8oKxoxcnsvJVK5q7JNJBUv15+dRYUwCZgbdXiDLBhbiabKKhqYZaFr+ujWtei4GoSSjlVBK7UuaTlArzCMZ1EJdW5goWR1dNVFyBpqlo+sWWkFZrwidF47P0r8tr4x9afIVBnUD07SYzozTp2xFK/RRvC5TtxlfGCet5pB0g5xpVIW3M0yrJGNRTjeyWa3q+hRTJ53JYY1MYSUyCMPEXKXi1/L3wJfVMBUNsyKXl6YaKFmNV45OM5GV2TQW59LVFUrz6bMU0kqhpROocrR0TxHgT0wQMkNIgRjJnktL1VRFx06rZFSTgcJcM00Lw2+hYaIqZmk8slkNWTEQmkko5MeyBEEhSGbL91nTTDTNRJZMYqk5Ev4Y8UgWXSuvnYpPwz96CCVbDgUbS2XoXamV5oMkmWiSmV8TfArBrIakVRsILXkBX1ZD0S101UTzmyU569luUv4cCbtwnxaGMU2rZGgwdaskp/BJ+Tx6FaiWjm6Wj5mmhbDB8ln559dhuJWSEySTOWyhY1TME6OwNkB+nSmOWzHPTiAVR5fK80UP5vs0FA3LJ5Xuhy92smpdnkrH0OS8DLpqIhsmkmGjaQZmoR9fJoVUeI9ZpkVQm0IJryvJUEQWJqpPB0XHCJf70JNZhNY431Vu8hTRZIJMzxaUnCjJm86qpDMapi0I+iWSlfeiDrqloebK64Qum0gVBouTUyk2JxVG4kfRzLL84UwGRfGVngFhC+y0ynwmXbrHRlaven4hf29SRqS0fhYJ5vR8vi9A1i0kI//sF9uSdAO5IJ8sS/iyGkZaZ3w+g2pYmLaOXw66vv/jaS2/BhJGNw0Upfze0xPZKln8OR2hCVQry4JxFkmSOLvgZ110fUl+WdRuyCmun5pmogYMskq1/i/ly+Xfh5lpfJlJpFNTmKFVJfkGo34URcP05efoqfgw2ezVBArXP2HG2WBXG9crn3mmjjKbVli78RcIZTWiPSEsW+TfAUbt7xBbM9F0E19FHjddNchldWRVoKo6mpRvP6toZLIqIZ+P3EtHEIEo1ihkf/pN7F3YDcCVA6/nop6NNf1U9SlE1XsskVDI2ErNXCjeQ2Hb6I5zWjpHWlS/DwGE4S/NYZBK8zKraJj+6vffxHyakdkcWsX4mYaFDqiqgSI71sGEgqnnn5GAmc0/u4FIfk3Eqnr+i+UBFtQUqmbiL8iSyxkoolxOysWRMxPY4RXIqoEvW57vVk4npqpI6JiF8IeVc9tIqdiKhmbanF3IErZszIAvv8baJpPJeXz2GiKj0/mxsCGT0UjJcqlMMOxneC7DRZHlNRmtWdPXUb0l0bCPjY1x//33c/fdd3PTTTdx9dVXl87pus53v/tdLKuDHUQeHucpm3sv5jPXf577f+ZrHHvnzfzJ+3ycqDCqS6rMilfS7Hjmi9w3+38wdJUdO0d45/95mcePztaPJevh4eHh4eHh4eGxTPT29nLNNddUGbkq2b59O+FwmGw2y969e9tu/7HHHgPgjjvuqLsTtxiysFFYwmJ4w76+zv4oPqcYCn2Z4QYFHOMg1yrOXj46gS+d33G8fyJVda68M7q9vy9qR7/Ca6qg78qamZpmrfExpP2v4E/Fy22JouJIYnByHr+doy4VfwdZwsJQ8wobm+qd45XfK/ON5Qy7die9aaK/+Dz6zmeQ0tXjU2qjgSbEEjZCqvayMV08UMyjh7HnZjGPHcFW3OenCJTbkWwbqaodUbWTXc7p2MlkKY9POF3I7VVfVNeTOcNiNp1Xmsm2zmDmNMHsBL7UWGmsnHlIqqg4lcgZNYcbbpoXVf/UF7J0po5njwDVyiEEWE089hrh5p21kJzHnEsgXJS8AFaq+l4aBe+hmWQ5l5VaYRit9bQpD5BkG0gFg1/QqM3HlakwplqOdmTHHHTm2fNJ7h6ctrCY0k4wZ4xxUB2v6dM5+QWCuYqcXYZweMa66Coks6iULd/wXnWCwMwe5PRkbZ9UezFEfTZqlSdQpVdL7f1u5AHh5rGp+fvzNZznmuhdepSpuueqvE7E/8/em0dLctV3np9Ycnsv316bSqWq0r4gtLCIxRgkZDc20AMH3AZjcZDPtI9nvMy46e4z9Bkbe9y2xwztGbeXMW5j4wXTHuzGGNPAATfYAoGQ0IqqVHu9V2/fco+M9d47f0RkZkRk5HtP6jKSIL7n1Kl8ETdu3Lhx40bm93u/v9/g/lvSZTmWPyidH7EPPXk/TelmOkUnrXladpajK3p23SZG4wKIJOmu2TXGNh5nqnWGqdaZxL5ASk5vtDm13mbb8nfsT8u3ONs8TcNr7G71VYp2sJ3YVPSS40dpGkrJVFXD5y+sP47WHZ3jLUTk5EuMl1FNU6y55zjTfYhl51Qm59Z7joVeoK6Sz702wnndDNb6nzfdWHv3wOll9Xtvm95ZRe+6FIWFkbq3O2HUXB4/U62zwNMbX9+1LQC6EKQ7dfCMDZ/LVwLVTd7z08uP9D+fau6eE9b2k/qAkhnv9USBLLdmdl+U9dCVVPTbHHIbCLu9Q7XP4nuTZ2EsPco0Dqawme6cY9KaZ8qaD+uKib+e9Gl6DUQ0ps63zyW6Mn0v9M4yWuBgdFbRVEo72fU7Xrh9od7FDxSBXiLICJUdb0Ag1O7P+osIl12e++u//mt+5Vd+Bd/3+4Mk/qPlkUce4Zd/+Zf5yle+wkc+8pH/bmthjhwvJNw8fQsfvus/cuqGk/zFrX/KF7/8j/zYP0rmorm00DB4zddP8LHD/47/76a38Hfcwy987hR/8egS/+sbruHlV+2eYDpHjhw5cuTIkSPH9y4uXLjAZz7zGc6dO0en0+mviM+Cpmn86Z/+6T9ZW3p5mBcXF9ne3t79gBS+9KUvAXD33XePLHP11VcDsLKSTZ4CLC8vJ8q+kKFtDJM+q7JGR7ncJA8AKbEu9XtZWh3Kj3+TMmBdcxPevoOJ/QoZ8hwyRZ0oleKGUkSW1i82tFcCA4o2JoC5LsGpkzQ2GwTWY3RuvpPq7I24ysdVElCYbkDJ70Iq/BJhJCSInBRdt82TJz5P+fwSxyeuGQoTJHcgZtMIzp9DdcIfYBOXnqJ9x8uHyujW6MT2W5YLaXegTJ7fEx5Wa4uxyMqjOh0YS4fGUqjUdWvdzXQJNKeF5reZ/FYXjg6Ht1epsFpqF4738aVmX6AqewMBUre3+uX1ETSMLx1W7Q0KnUnmilfy8HwdXbhIvTAc+ir6U48R2yq6Jsu2+0M5TeJpvh1eszIQo+6rFOjdGvVmnaBgYqb6XxeSQAbJcSIDCssPoQkX/4pXokqTidBrvbb0woINNqbCVKbuWaPrsdKd57Trc8X4ncwAji8p90TMHXW4Hfiu0TESAagWqjuWtz2BXwr7fmKr0a8jFKoUmoKuzAjFN9wQ6qnwbwq1C9GcJF9NTafibMFYBaOzghw/BHpaTR7U15U2TZUtDmcJDM9lWfBTKy1uGIeZXcol7tAO79NAxds1OGrFHw5zloCUoOsozewfVcCEESJvIbDoKI1eMDqhJKfddZq1x7l+38uZW3oQTfho3S2Cw3f1jzPrZ/vPWtVagOnr+/tWmza+CPctN2zUFYqO32Glu8S+8gGqxjQtN2BurMDj29/ClS5YC+GVyoG4lB7NmYFKM2+WTIkQ2Xe0sPIwTM1m7otXHj86S+jUUHhCUvPD7w3NYAMv8CmhIeYvQrGIeew4pYJB/AlpOQGV6LnWguwFGiNFwj0OUqWyFwtoSlDc7OACuvQRRgmlBJpQGefc+WS2L9iyPAq6zsHJEhqwZa+hjFiIwxFVVNrDz2U/ZGFGuwUy9gUiKhYEwOhw024gObvZwdQ1rt9fRcTmd8NqI7/2JJphoV1bRBUyZItnGZZUU4KyX8fQxrAbq1Qr2YuiVP+LScaexItXYW4/g/eVZ9jvNqhcO3A5GMIBvYK2ugla6Fa70DpHoHy2mqe4ZeZW2n6LasZZ+u0N/vvDcNte775oZMejTP/93aPNXFah64knnuCDH/wguq7zjne8g7vvvpsvfOELfO5zn+uXOXLkCLfccgsPPPAAn/rUp3jnO995OZuQI8cLAjdN38K/f+WHuHjTBT55z8cY/9sv8baHJJXoLTq3Aj+98l950/Ev8kfX/giP83L+p08+xeuumeVnvv9qrts3Otl2jhw5cuTIkSNHju9NPPDAA/z0T/80Qog9rTy9HIsKsxYvxvc1GiHBOjU1NbR/JywuLrKwsEC5XOaOO+4YWa4XHeSpp54aWebJJ58E4LbbbntWbXhekArJ1VE2SzIUCZ8JfG7R9ifLp+5zcOqZ/ufxC6eGhC5UEFI1KoscG430SmhFbAX+KF7Pdei4AcvWGrZooj/9FbZePcZX2+cxjOjoTEUlJpZFn8+d/AeK5xeQwKXOPNdMXBvm3xKhQGfhIFUoApntNLGcEmCag/2hgyoawzHeXXNbJPJ+xbDa6VBJCV1aRHRpmoYvfb6x8TWq7bNMFqY4Wj02mvFNPTcJAkspkAG6vR3tW0eNcKDFYcb6NOseJ3OGDAs9O2HbX6JgSpq+ZLOtMb3vDNPWBdzCFLXgaKqu0XAZkY9aCiq1c+j2NmXXpFval0kr6tY6fnsDFKiMMaQLwVp3lSPVgdvU2D6Nbm8BUFz4Ms71b8tuQlqZSl+IkXTetLDoCJNAuSx0HuPKoURYEfkekbWaSIpLo82DO9+Lgr5zmDqlFCvuWQDGmm3cKJdfOvVbuq2ynJR+FCrpUOtXstPJe+JHiLjY0LADLq3WmZ2scnAiexxccpM5vXabqUaNWzGij6Y752lNvoxvNyxutwOmeiG4MqrRda0vZGupBQJa+OSH54qLe7HJRKFQO7xrNWsdNXFFYi7Y7c0sxKAVS36dZb9O4DVY2HqMfdE7xOisjPJDJs/v1Blfe5DpzhrN8etQmo5Sise2HsFXPpc6l9Cs2wmExtHZSihyxdo5sVUfWbcQw8Kg6dhQSPJZmtfZk2Fkx3EgJVovv9wItd+RPpecNWa9YyiVlBJ8KdAvXkQtLYZtKoUCkClsypFYubmwycyRKfRAoGZHRSEbcSVKobpdZLuFPrcPzRym2+vtDt3tRSrVGa48sG9wAakL11BoSlLqrKB7OlrpEExcmTjXTthsh3OQJyUbHZeD1dKehTjT84f0Xk1BK9ikqDK+5ymG3nMqNYcGMkDX9H6urrObHTbml9ECn2rhWibHBs/xxKknYa4Mnkt5oYZ9XUbYw4zrFxfPox0vo8nwqZWxuUHv5Tklci9FdQwZPkd00tDW2Pc4zXeZXtnCOZCa6bsOjJfoBlY/j92qvcItM7dGdYZ91nEEG4HLTFFhjFiBYvuCWtdnrGhQyBB7k40d7NF6JWOFdd8C9g/NWc9lMcELFZdV6PrYxz6GUorf/d3f7a/Ke+SRRxJljh07xkc/+lHuvfdePv3pT+dCV47valw9cQ3/213/ntVb/2c+9+SfMvmfP8MbnhDo0Sxy7bzPr8//Z04c/xR/csOb+dqF1/LghRo/cON+fvI1x7h6LvvHV44cOXLkyJEjR47vPfzO7/wOQRBw++2388Y3vpG5uTmMFKFwOXH//ffz6KOP8qEPfYg3v/nNQ/sfeOAB2u02pmly++23P6u6n3jiCQCuvfZaisXRhO5rX/taJicnOXHiBJcuXeLo0STZ/tBDD7G5ucns7CyvfvWrn1Ubng+olHukqQa5FVy1B9oyGF1mf+NxhDNPuzQGKklsqbQnKsXwpHnarmjQoypHHqcbLDYcbDEQlja8i+xH9YnaUQRwv5aoPnn+XH9foHw8Idm2PIJAw/YF2yIMKTYuWsxsp8JbyRHkVE+kVRJcD0MEKDWBBCqxkJDpo5vBBhX2pbYO1npf6sz33R0tv8m2s01KbkRKWKnbCNtnTin0jH6QzSYqMzxWSrhL/V1Iu+N2wJgbOsiGeMERXK1QPoXIv1fz1jjSVqCXKPlNxrYuRYcOH1zyav3P9a6Pb4ajR5NBv/1SKUx7i97TbqZyBBViuavNrZPoPZpuRFsbfp0jDIQu3U665cQI5s4jlc8pLQamnlGjEHMbRE4FlSgf/hWshiKb0VqAynS/jwuGnu36UoAU/ZB2w82NCcJZBgapcLTQuVhpdajrGlMJE8WIDkiNxQ1vPrvcDkiEUXQ9Di+sMmZvwsuupGX7THjnWeemhNCV6LOdbXB7xwjCXxGOyYAiDdsbCF271rfHdsX6sOsLup6gVOqZ2JJtMjrLBBNXkAwVNrpqqZvoMujXUheD52TT2ybulNHbKyA95OTRofP2UFj+OprwKAQ2Y+4aVvkwCoWvfFCKlu3jOWvMFK7gUs3GjGkZBcthdmk9s94slNsWU8ubcDw5f+pObU+OrjikDPt2WvaudbG/z3Fjbis5IP4velvU/SLzzRMIlZyVl7uL2N/+PFWzyjFjEnnyEZCiP0cCmItr2K06BUNHKy/CIJXdIHTrqGsQAu/hhyDw0WZmWb/xIMvdJZr+BFOFsC0T1iUKgQX2Gs7UqymXwnvZD2EZVVkQFiCiuUnHaF0Kha7AQfMsph45ibvPQ4wXd1284Hq9Mb23pS+m59NyA6rl2HdLpdjyF2k655jx2xR6k7gQQ7UqpWh7kqAApWhO/9r6A+iazqv2v4aSUWJtcZ3JM08DsFnQmLzjpv7xmhDg2xjN0xS7DvbVB8FIucNGPPfFx7/OVXMu6Bprs6/CK0yRJSSOgiJ7lcDwlsE8YSkPww/vU6J09J++Q5xk11fUuh6B6bFk2BybzeZ/z21ZdLyAjhNweDaqWIpQgdzDgrZ4Cd3eRHE8tkUNFQrMF7fx4rIKXY899hgvf/nLdww9ATA7O8vrXvc6Hn744ct5+hw5XrC4Yuww/+Nr/h3dV/4vfPWrv0/h4/+F284Mvt28ZN7lw/N/w1PHP8tf3Pw6vnT6Xv7+9CZvuvkA//LVR0dOeDly5MiRI0eOHDm+d3D69Gmuv/56PvGJT/yTClw9vOIVr+Ab3/gGv/Ebv8Ett9zC8ePH+/vW19f5tV/7NQDe+c53JhxdX/rSl/jN3/xNrrrqKv7wD/8ws+6zZ0MnQrzOLBSLRe6//35++7d/m1/8xV/kD/7gDyhHbptGo9Fvw0/91E9hZqygfqFBack2DhEomha6pBoO+6pFDmTsz0LBbzPurNNUMszFVLh253aMCEOX1a5EOJ94QQ3kCJGpf2xmc5MhgLKw1h44n7ru4HfTknOSKzPKa0pQtZcwhYPm3oIyxmlEeW6mWucpnl3AABoFWCyMsWb5HJAFdH34HhQ0g3EnnatnUMoRybBCq/YyB1O1rLUdmk7A/kDS9QXV4vDYFOfPDgUDyw6cNLqP491XdreoLD7JbDtiIbWB00b1y6veLkxnlzwwSnFOrnGrfmyXcpIraiG30/UD1jsuFKDaXaTi1ZjyBcwdHbrVPfGvWNvAueIq/F6YQeGjVOS0geceUikjrxrAolvjIHHH3g6DP/33Dk4KUY/yFQgfZABGeM9HrdIfv3ia8YWzWFffmHlaGZHf4tIC4yfPIq0OXdGg7dp0/SLKVKny0b3t3/cRhK2KHyPoiuHQe2mpdbiA6v8nV1eZaC2jy4DyYhOmKhjCDXP1ZQ/oURtHYmeKPsPdgWTCXqReuJYM09Fo7DKfDU4ZiZtSsdiw0ds1uuYUc+OFzPYAiUu2vN7Y7PWjRNP00GWSIsYNO0DTIkeKXWdeGhhoHCnMUFgNnzthjc5tpcXcJ4WgJ5opCFzM2mlKTsCqZjFTuAKZCkk5e+I8o/1cw9114MISSqVcfEqit1fQSjHxa+RzNNg+X7PouIK5epeXKBL5zM4un8OoFhET5UFYPZJ57gpFH2JR+ObbF9mPpN1dxQmWqToTKHt7OIJbtCVYuASHwreN3nUorWzC0AKIAWS7CUHY12J7kzNR3spld6UvdBWCQYOE24HSTGj87Z076hdDegi9MHjtAkiBufk0ur2BboFR12jfceWzcOKkXN4ZB2pShm621P3RY33c9GuMY6BrGlMPn0QdKsH4gK9cablc3PKwLY2bDkxQMDWEChAKTjef4bbZOxhfGCxsKV48izx+KHE+01rFFy5mvUFx7SLelTekLiX7oa60L9Kd2g8Fk32tp1mZ+77dOiWFEZNFSivrhbX0ZLCj2B6KfkmXthPl0LxSSPyYk7ZhB/TetEIqdG0QSSF+uUIqCp0us2cexjTHaL3kZakTJ1o64joz2qs9OyH6hYzL+kugXq9zzz337Knsvn37dkwonCPHdyPGzHHedM+/Qdz9r3jqi7+B9Vef4YbTqq/93zbvc9v8Vzh36B/4zC038OUzb+WLpzb44VsO8i9ffZQj05Xntf05cuTIkSNHjhw5nj9UKhXuvPPO74jIBfCTP/mTPPTQQzzyyCO89a1v5e677+bAgQNsbm7y1a9+Fdu2ueuuu/jABz6QOK7dbnPx4sUd615bCxO6z87ukI8j1o7HH3+cr371q/zQD/0Qr33taxFC8MADD1Cr1XjTm97Ee9/73ud+od9JmKncT0OEgsZjS01sTzBf6/LPDsg9/Wg3lMe8XGdTtriKSvYi5vgGrwMM/7boFTG1Itb0JOON1miiX4VEb7KC1N99fWwEda7SG0KIEYRzLwRQ8hSKqrNK2QvDaJrbZ/D33d7PU1VZng8ZWV1j/ZkluO0GULDctLlqpjJ07sPdZSaKyYT1Wi/MkZbO1ZONbcvr/8ZzfUk1bVocG6PdWCdI5YFpe61+iMYe9krxT1vn0Ao+k5ZFsRTgFSb7+3oiiFhcoHrqHOXJSUqXwmfQlw4FvZxw5kHYr7byYn8nXYG9z3qMHGx2o75Rikrk8hpzNwiUGhoDPRhWp/+56wnGlQ0qzDG12/X3WtY7ZxxZxyndRBIX+LRhnSv1t+v1pF6FFim3MvEchJ+lFb+XPdIw5aVUMhlDU0omzzwBR8VQjEOpVJgH78wpzFYbR3jU/VVMDM41zqEqMTFbC/OwBNKjQHqOGY0dBaQdw6MN9m02ltGjIHqFehemwnlFUzKhc+0UblcBWiAo1GyCahE5lnxg9hCpN1F4w9ng6rEbhnNu7RqScW8nUoWQ2G90fbrSZQKF5Qah0KUGk29LOBQ1I5rDR5POCkUx6DDZXUCPuTyDrSalU8tMSJv691+Pbm9xNtpX0EwORc+40VlBVg/RdOTwEX8AACAASURBVLLnpvR9lkphNufRhIcuBZPuAkzClneJw7FyyfxXGb6WVP/qQtAPX9Tb5jZw1TT2LvnipFJsBR1gDoBOtMDBCyS+UMS/9ZRWWpSAzk0H0Ea8K6bLyQeqV0pz2/h6GaQksBqJTFIDR08sr5GUTDx1Dk0IfDXDyPsY2fTqbp223wJ1DMOyQ4dSFvqLEFS2lh9fX4ICP8mfaz3XdGrMinqb2Yvb2DNj2DH+cESmpj70IODKkxcwgoDx8ggHlQLbC+i64Tg7SBnOLMMdc/2iWx0PDoSHdLyAGXNQV7cn9KWv9+EHMPe/hGA6/D6ouwN5tfrkWeoHr0EZBoWlB9F8C2/mpSOuYTAHmzFRsXe++Gk1Bb5Iu3n3KnRDIAWbohOOmFjF8fm+Jiw2nY3EiZ9cbrLWcqHpsi/jfCfX2kw3wsU0R2bK+CpgUW7FG8ncuUV0cRhduoxdOg+3ZYR3jF9v1nWlB913j851eYWuarXKxsbolQRxrK6uMjk5uXvBHDm+C2FoBne+6X+HH/i3rHzu/2D101/kqjNa/7vtdWuK96+d5ifGT/OFW+f4nPFGvnDyFbz1JVfyvruuCn+Q5ciRI0eOHDly5Piewp133snKysp37HylUok/+ZM/4ZOf/CSf/exn+eY3v4llWUxMTHD77bfztre9jbe97W3PSXhrt0MhYWxs98gFxWKRj3zkI/zlX/4lf/M3f8PnP/95AG644Qbe//738853vhNd33s4t+cTO5lFerC9ATFmeWIkba2URCgfQyvgyC6bstWvUx+yaCWFBnP9McreTTjFueiY4ZapqE/TZFW8zjS0oXqGGTwtUSSbUbGCYZdJ/Jx9B0RURdndTtYZc11pnj/UFC2qqusJul6SHC76bSDJVRQ31/GfdtGuuxYhh4nLp7ef5KrpIrOlgXCroShZ2eRuy2txyboIUiQI3KbXwBqKuZfOswUtx6fjioQgGAp9YcghU9gJoavjBMwVdMSZM5hti7m1BvXo12fdX+NA6fiQs0frnazXCiXxpY1S5UFDeiX9AApmmJtNDkSuQcEehaxlhj7sYaPjcq1cQhLLC7jHRenpsafSIkfqevobdhHIkqHKhtW3YXNBzKKRofsqJRl31tEQdMtXAGCubOIfSbpFpALlef1q/FjuJIUCqSgWKnhyQO52ZZtANNFkKtdf/Lg9QBATlLPjJvY/+rFMUXFXgCH9QZo6Bd2tpzC6TcS+W4arU1C+1KBQt1GGRvulV4CRzIOVheH5Bvad36LgBBSvWka76jh+1jiIYHkCN3gOYRRjY7OjbCYSFzP4uOCFjqFrpE95dNA7QDHdOZ/apPDOL2Ggh8/UpQ282LqQc95GX+jqoW0HFMt7oXkVmteOPilMEYoCW/4ih8nmabPuQehG0kmHooy/azTh0ZEOJ5zYd5eM23nWXeeSXwOOxRZAKIp+E3x7+ABgbKGOLBoIKYfbkCHuhR980MM5TKXCwK7LBodJuYta3b5YFcrWyfm/43cYM8fQRYATOCx3wxCL018P84oeq9ls3XXNUNuzXoOF2iBMZXxsSxSayhbM0tfpnrlEyfIoWR7OZKn/Hkf6LPl1bqGCUoqStUSVDp1y6FqbXd6IQrMOIy4mxqeD7a7HAZxQ+BESI+UyXWrYTFcK/cfFE8Pvw3FrgZLT4cjyeebvvj/zusx6GzHmo6twHBQWv4abMU4T2k1sQUGx2/s+kHJQp78m7XGGbPhNlt01Om6AF0gKjk9PXllXDa5kDhSs+E0guZir1g3ncakUnhiElYQwv6Yfe/93XMGaVmO7bcP4wKlt+EH4jGlgdlJ5PfcoUg0JsLHj0uF8X2y4rELXrbfeyte//nUuXLjANdcMP8g9nDp1igcffJDXvOY1l/P0OXK8+GAUOfzPf40rf/Df4n3uVzj/X/+B6fMGpggn4BkLfuyb2/zIt/6Kr9/4t3zBu51/cepN3HPN9bzvriPcdHBilxPkyJEjR44cOXLk+G7Bz//8z3Pffffx6U9/mre//e3fkXOapsl73vMe3vOe9+z5mHe84x284x3v2LHM7//+7z/rdtx3333cd999z+q4FxriBOCy3GZNJgNDScejuLWKP7MPVSgMc/xaz1ESsOFd5EJb41DlRibSTqehROupvxUcqj1Co3otnjkJzKQP76PtBMyMFRI7dGsdY/ExKm4yL5Iuku0YlV8pTmRGrUvsbvnbSYOLUsxerFExzlCjgi06TJr7mDD3MYrZ6W/NILpdcxJoh6vPI4QOlGHBVOt0qWyc5+mVKqXlbZjdplhIXmfTa7C1/S3uPfzPekeNbBfAwvapbP1GQdNO9WGKjfMCyTcuZgcU65VNhz8D0L1sotSPyEM51F6VcHSs2WeRnseE6zBWOsJ2d9B35vI6wfErMTPC9LWVgyk6SDUUiHMIGmDWzuAlQmTuUekaEmSy+l8xY46n9qWErnT+uuj/cttC8wyglCKpdxLKVNL9RSgCjrmDBeJ2cT96vQU9oSsm5qJrnNu0Iudksh+kgrJexZN2eM6IbIa0EycNRcHU8QM5UnRsB9tD27qeYL3tUtYVB/eVdo1IWPa2gVDI07sbbLUu8VRzgdszxqYvJM5SE13XmKoUMNsuwXOIZlOwPQqRq8lfu4h2+NU4vsQLRJTbLuwX2bWQUnFuMzvK1LZss64azEUXpNs1QENub6FVBxxMK+agGggRw+Nho7vG0WgcezLoi4OaUihtZwGyoIVSuNFahdnR/I/eWUvkuYtj6F5tPT34LBWlloM+102XGoJUgi1vEYVgrngkNbYJn1U1Yubrq54AEqXUQMyGSORKouJtUbVX0K1uQviMo+UEKDtgM/BRfSOgQqbJepX8KJREGsme6eIilKSAjtFZZa0xg7XR4Xo7YLJisuUtIVKO3vnOBcbNKtfKo7SDpBO4B3v1CdiffscORA4NKGxbI18ZUin07lbmvp2edE0oVNRtmtfhLB2Oijme6i4DUHG2sAv7EUYR0x12S/fr6d/n4bN1pMtKy6HTdFEFPVxrEdmflQoXL/Ry9fnR95ReyF5NCYpeHVUpUPRa6JHrbzvosCVjfalpYbhAoxp1SLYQo2WG31PMLa5llM6Sm1XUroApaz5sqRIolRx7S/Yqri/wgt58Oxw+M7OFu7zXLmwnn0GpFI4KKLcc/J7QlbGIKfGn8JBKxsKQZr/fRDkVYnSHOl9suKxC17ve9S6+9rWv8d73vpf3v//9vP71r+9bWYMgYHV1lc9//vP88R//MUEQ8K53vetynj5HjhctVHmawjv+b265d4HS3/8KZ//xm4gzFcatcPIrCHjDSY83nHyEtelH+G83HuLfnP4Bjh1/A+975VFeeXQ6NannyJEjR44cOXLk+G7DTTfdxMc//nHuv/9+Pvaxj/GKV7yCmZmZHY/52Z/92e9Q63LsBT36wFYeKzJF7EmFe+I847aP39imc8Otw8d3QyLElm2EChhrtFnVzzJhpELXDJHvCsvzCUl6RTsKPdRzEZTWu5jlIt7kDUx0L0H3JDUxvIq+R5IUlr+BcLpU7RW0ktkXVnSZJMtkRLwamjFCdxhBqKR0orF6l1LXwx0LsAkJsFawGQpdmY6TzI+D6pU/2K5gzNvAFA5OYYp0Hha92QaKSAX2xhbO1iLj5aRopKHQbRfl+zRsPyRxR1zblrOZyCszsuEjsNHOzq01LzdY7noYsgpkOPDYmVAfCtukVH8lf0fZFFvrCK1A093k/OZsLGylQm9ZvUOG0FE22/ZjfJ9/8FkE1Rvkytm9R0YJnVlEJugqLULuHt7ObNocPGshjBKUZxJH29LjpL3OlN/iYCHtMlCYMWHHkF5C5Kq42zFXZXSEHgobQilWmg5WJFCmf+6HRHmPMN6Z/By0Zuf92QjLntu00Bst3MU1SvunmbnzmqF6tJgbwTfGOTx2FWvOIroVEs3booPcPkOxWYt7xnD8iByWiq4boAOG5aEMDVkuoAJBYdsimCihSmZKtB/xnIlNTClxpcXD6xc4UB3jRnkXRSA4eQIn5uTSlUCioSJRaVFt4asAv6UzVSlQaVygvNTAN3SY2MfYDTP4QtKJCV0lrwFU+3UM92CIuKBjCgtPnxoqnwUtcCHmHctif6bKJq0Mh9rgWVAYwmF+az4S/qCy0aay0GS88y3060eHZVVAO9jsC+Pb3jIHIOGkUpqWoTcrxk9voLsB3WvmENUSZv0ssnwcY4TQ2quiau/sYFcaOJ6gBHhCEsTm1eFwucm/a8IiqxdFTwiQiu72JYSYomH7TFZMAuUMlQewgk5MuBrG6Pk+fI6Lm2epzKcXL6jkp5HP9LMTJR63LiX+1pWPIB1bNwkzcBhz1pEiewavdzwKDEIO69JHlxpSL7LRHghdSInYWEf3w6c/PheGFxMevxY0MfsufUXDFmx3HDbLHvurxZ3nr36YxeEyibvtC5xUJACFRENnwl7q51MreS2EOeyQ9WJhD8Pcd6GbuqLtLCAlnIe7ULimroGE6rZF+9AE49tdyvo28VGoKRkKoZqGuf44zvLXONuosepWyHo3Wp5E9wQFc3Qkhiyn7IsJl1Xo+sEf/EHe85738IlPfIJf+IVfSOy77bbbBquLlOK+++7j3nvvvZynz5HjRQ85dQz7nX/E8e97lLGv/hrrj55g5WyVqY3BJHSoAT/+zTV+jI/z1LFP8qnHX8pHrv8Rfvy1t3H3dftGJrvNkSNHjhw5cuTI8eLG4uIiP/dzP0ez2aTRaHDmzJmRZXurpXOh6wWG6Dexw3AIH9PxUREBVGgMOyqUUuB7GMKma59HMyrMLa5hzQ4TpZpK01+KtuXDPlhqONStpCBltpcwXINiZ5O51hqerFFxt1DJoFzYgc2EkgRK9EMQakr2ha50eCUV/TYppqgHza5h+HW07mFIZIXpFUj3zYjcM0pmElpCStpOSCgJY6zXBX1UOk26qhSG/pE2ZhTqsOw3USmhK31syw4oF7WEwaC4us3Y2UXaZ03UylMUrzmCKmWTRWv26lCdmSfqb9mddPKlS0M2OUSJFbmJIil8mqYe9lPUV1pa6xlx7p6AIlEUe26Fdpdg/IbYYUlCNlvPlJxrn+HVhenYttGEJEoNhsCo/DUpSCVY9epomsZhc6q/6t/QCojISRA+F8mDLd9izV1nXC9xPeCncv5oaJQX6kDsOYsVOdNdplESuEGbil5M1u5ZCR1t3Ek6CyQKSzSp4IUWrejaw/8UXXfwPMXdV7J/L0c4G5RCUxKzYaMMHTERI18T92u0INa0fc7M17mmYTNlhs+fGeV1cyyHYKOOmk4Ke1KqvnOnoo+j9xySMRGgtbSM3EEUcIVksmFTiNwNnZsPUFjvUKk1kEWDzksOxfo/WU9caENJHK+O411ivGTiSYdLnXmum5pFda3++Cu7W0zYocPFHz8Y/h+5drxAstl22T9RZGK9w/nSE1xd+n66577J6piBUIN5zejnsxtBsEfn68YWA5SCNl5hhNClEv9l1Ll33icukuoqwA3kQOhaa2NH7ZvYaqAdrqCMEuh64jhbtHDlwHESKBcZkf2m6zGzshEKOlrS0qUFEj0KwTl+dovWnVeiBc4uonvs+L3mTUsdlx5j8X0KRaAU5fawcNVrl1CKirNFe4QQOdQs4aP53bAh6fRHI+Y4AM1ap3RpWNDTUKlqsvuhkCGs9lDquNgzyfDQHZFcKKH2sGB+oruEMV7GcCVE700IHaRBqp8LQYe59nnKgU6jej2BMXBmjp1fJvA1dC/s9zFnA62we9jplZaDVobVpsPseIbTvX8x0f9CYjSbmJUGmRqegtpT8ywdz8ptpSh5gzC+BdmlF7hyLyg6AYWVhZHF+5LzHvpdxkMTtxwm11pUvG0cxhPPz2bH42C1iNFcYMmrI90GqHJmCN2W7VNf2+Ylhd7cleUCzoWuBD74wQ/y8pe/nI9+9KOcOnUqIW5pmsatt97KT/zET/DmN7/5cp86R47vGgSHXk7rR/4Lk69+kCse/jDOiac4tTiJeaFI2Yvs88AdCx53LDyK+/VHefQrs/yfx7+fm3/43fzwy44zVvzOJCnPkSNHjhw5cuTI8Z3Bhz70IRYXF6lUKrzsZS9jbm7uOeXHyvH8oUdOZHJ3UdinQeGUVOV4oCq47UcpSwvDqGBr+xP1mrZPuePSKUzRTpB4Cs0Nyca0yAXh6uQxDHSvA4TUhyls/JTQda55imozYLVzmqucZGixot9gyvJAD/M0FVyfiY3O0Ll0FWA2l9B0DbH4TdTVw861rhtQRWG6gkq9iz6Ut6p3VWkyMNQLVre2QAtzY/hGlI+lV8D1qC7X8UpTBEYFXWY7pPrQtHCFs5LokZBX7/rsqw5cU2YnIuWdAMP3ueLMPKu3XjlUleMLNhoOU4bHpKyDnnReaSnScGKzDkd3J51EKnRlMWgNrZbXUk6PdL/5kVtBKoXrD1h2zfEw3EGIN116oXCREYJuyBXWO0ZJmt0mprc4tC+Iib79KCVq0MIsQlAjwPaS17Pi1TjlhiKiUdYZi+64rgJKzipSLzF+qUahC0QuKoCL3SV0GeDKgFpggZAoFNuqHY4vVcJIXVY8zGNXuEhlUgNKTofx4oBm090ml1yPa/Qw70/RbyH1wf6G6lAP1vFkjWmVFL8VKjUHDPqh6wWRbpnd35pSjDVajC2Ggrl1435EdQenQQq2aPLZk19hvzrIlr9NbTxJHXp+wNpWB72cJNFtX2D4AlE0MTSdRxeblM06B+RAqD6zmspFlYFCLIRXZaGO7kQciCcwuh7looHjCQqBjRYTlCfWB+HONBRr1jNMExlEZShqKqVYbl5kvbNF269wvb0eO2Y4gCfAZttjKhBQcNh2tliVS5z1NPbF8gQZ0gcp0N0WsmRiBOnFDJFoHM93tGfX4s4Q9TbK81HFgePGiDlyB8Mk/NCwfSpFEyP+uAFXLJymXFzEP7SPYC6ZS60ttjFIft9Yi9yl06tbjNcHOSJHXk/s2rN7OgPPpXOUYrmRdCQPqtGwpEdBZn93GinB7tQOBcbaYxiNi+i6Qo7N7VA4gtdhYbsKXoO5ekbYyJQwN6oBM8bgGVQpIX+sbg8JXRnV7wpDeEAZTYroGRnM/U07YDI2D013zsOB0NE87qzSHB+kNSpu1HAmMhaSRBjpJIoWzFjKRcoqhtyh9UphbNbQN+tMdJ5Ev3E43KewW+hOAY4nt0slWHROEPdvDX/D6G0drBaJuzinFrbRgimUmXGcUgnnX2bWvlhfitj2ibVwbgtzoWnEU8Ut1m0Ojodt6EbhH9P3CcL+A5i0LrBlHmMK0J2MMMgKjs7unj/3hYrLLnQBvOUtb+Etb3kLzWaT1dVVLMtifHycI0eOUK1W/ylOmSPHdx80Df+q19E48n0UXvmP3PHN/4Cx8gTn1sZZma+yf8noT1ulAF57ocZrL/wt7gOf4ctHrsJ95Vt5zY/+Dxw+NLvjaXLkyJEjR44cOXK8OPCtb32Lubk5PvWpT3Hw4MHnuzk5ngsigsast5mwW1j7xpFRCBlNpCi2lOjhI8DrYMtQdCgImwSVpxSzCzVKJZNVtY2GHobiURJd+kwVRq8gvlSzYRbGdNDrLfRyRNKmVqd3/A61zgIFYMWvc0WMgCv7LTQqKDT2nd+i4Ga7sHp5OOpdn/pWl435el+UAPADFSurmF5uDtWRQLqfAoneXITpWVCKspckcoxmdh6VQX1ZjgzJXPsUuvTZLmj4+s6igaZUJmlneQJhKoLOKmq8OCSyaU4NGLie5hZXUXsQutJh7Ev+cIL68nKTranN6Hq0xHUGMZHFCyTrbQddSgxfULiwQCkVsitpCNvd0WVKm7W1eZidzVhkniGYBcEgdGFGxBJNKTY7LkTToFKKZ+ylft3PuKu8LLq+qr2M6W6iBZJyzcIupZb4x8ZPR7pUgZrq0FIh+Rwoj30URlxxiKW6zX5f0PR8iro+VMDBoxxZC/SY6NNQFpoKCcU1USeuI4gRIlZ4vb17MMLRJRX759f79VUW6nRecigmtCvG7ZUw31CGAwWgevEcNucoepLg+iMQ6zfbF7DVwp2eThzjCtm/9oKwCdBwVp6mM17AE4qJUkhBPhuSXZMp708i1xNU7aX+52I8v51SaCLs644bYHmCGcuj+eB/o+5EAqCos6GaHNBC146xWUdWxzKZUssVlMY0Npw1gqJESp0NknOT7tRhjER/KrOUuuZMz+PoDhixr/d8iHYX90wUjm5mGubCcMb7m08Bx/ql40dKCduWx4FqkUAMntqi36ay4BLsG0d368nrUBJS7iHHC/u3Wmvs8Vri9ZE57tJ1aHseLArHl3TcAHNMDj0b8f5vBN09++F65awROQ4BNOGivPC9rLkt2IPQ1a0t0Zyco+0HVDzJsKwgcebGKRkaavf0aSGiizTRCch2O+96cAb67u1nqTqWrC4TVg3t4BjKDB+qc+0z2GKWijEZ1Rk/96gFLWG5WmsNp9mhNF4GfTTPaWzU+gskJtYGCz5691IXXRIO3Qh1f3Vom6bUcDqtHfJB6l4Aw68AAMyOjWFblPSxhIMqtaSp/0nEZEtlaOBDo+tSSkXIDR3aInW4BHQ0Btd9RobOVUP6g0USgTPUCA3BDQcmcLu7LAJ6geKyCl2PPfYYU1NTXHvttQBMTU0xNbW3eLM5cuQYAU3DP3o3javeQHHhy1z98H/ghiPfptU1eHRlCuZLHNoazLylQPHq+Usw///ifuojPHDNS9j/Q/+cG9/yA+jjudCcI0eOHDly5MjxYoXrurzpTW/KRa4XNRRap0t5aYOqsjB8SeOqkCwuN2w0FWMwpOozFI/bl9i2GlztHhzKX9WDJhVGIGmrAEr0HWKFoBUWT8Z1wowStAeH90PB5FLN5rpuE3NxnapuYVUUY+463fJgvCWILjVwksV5qkLXGxK5AiH7ekavjrYzIKH1QFI0odENaDnDjrMdIUfRRFB1likbkRspun5jLRkWclcOS9OouFv9/GMVdxOvmBXyKI2dScFASIpGUuTptJswnhQPdgtdqPtt1r1TVDLarvuCouURTFfQnYBaZXDtcQLZH+Fqq250QI2I/ZRGIECoTPJaoREEodtAohK+kHjxQAYopZBdN6LoIChl01ZFvZK5HSBQgsLmU2jyOGWvRgDoMsxl4svRhHXvnE01cLCF43x47PcR8on9bdtdD3MiQGGgimNgeTu7VyKhrSk7YBgURBeXmZFurcFhcuTY6JGoti8oF4zUwFBU3A32z38N6TpUDlexx0a7LCAUh8WBAXmvKQW2y9A4iP057mzQrIbXVotcpJYXMPOsyHdA07Bj4f40qRKCoBHb51ZLlDrhWNaAqe1lwskwFPc2zq0SFJIidUfZzGjjFDDR/ABzfgWuG9mYHZ9HzW1DygWLbtLw67S7NfaJ0WMvDWWnwuqNUGb8hVg4zOXNvtCVFPhVvwo9CsvoeALd9sMwhpj40omVhMJGbbS7aQcEyt2THCL2XLsKcz/tYl5XgC8kNcunXA6QZjp0Ya9Vsl9+dE2xAtFxljc6f1n4DD+7cd1P26UUri8ZS6VVNKWHOzVN92CV1tMNJpTM7IJk6MDefdYBueewj7s3dpd6hnIEhg7ifee3sYtQVWvYx2ZBCtANav4yVxrpfIbRvJIV1jRSmioXV5EzVxB0unDFNUPF4q3oXXsYxrW/FQARZH/H8DNysGmE77Sd5mNtt/6JUH36PAXLpnB1ceS9SbwPhQC95xrrSYLhDLTpzTNpHmC8cEUYzSuVB05ToFJzRhALLT221UiWj/5XUdhbvX4eSnv5nvPCw+7BMJ8F3ve+9/GJT3ziclaZI0eOHjQN7/i9NP7F52i+9c8oX38X91xX4+4fWMV9e53HXhVwKZUjsSQkt5z9Nvt/59dZf8sPcvpnfob2Zz+DbO2yKjJHjhw5cuTIkSPHCw7Hjh3blfzM8cKGUhKtNnDbVJoDT1ZluwvIPtHTF4SEw1YQhgDccFLJ2wHD80Gpfl1+5AzrkfZ6ROwrpfrJ4gsXFtGbbfRmG3NpELpLbIW/E5pBm1LHxZQumkoTfD0CaUAsxUWAXUmfOJGlFEgZtk3w7EUuFLqXFmkG56+42xlbh+uIo6E6nBWrdGKklyn2uqQ+Xu0oEWI0wesFz45artpLGJt/R6X+0PBOqdh/bouZpQaTF6J+kKm+77Ups3a1AxkXd1xEbpBnLmCeuogxYhW4QtFyAsyeK0QNtgM0/HW+VXuAb3QvoGLtlGY2baX16KzAja4r2Va9s0rVGazQ16TC9rP6N3YtrS5iszFUwo3dF6kCztQWmG/2BIb4ynyFUArNrvVakdn25HWE6OULqrhbAGw7WyOPCbt8EKZMmOZwAaXoeqIvKEsFzzTqPLPeYGbxm5iLa5gbNQ5fPLlrG0dhJwFPQ4tcRbFmSdDcvYs9AEE636BUI9+D7nhSlJ1srSeeNyPwyRrt2zIW8tDzwlxTO2CPvHYCCslW0CH9iOvSZ7pzdqi8vxLe//6lDmkJCqnCZ6re9RFS0ZYOHTmYt3r91BOVzMBm0prv7xfRfFvEjC1aUCAkY+fS7pbh/HZSZd9LJxgWDNJwh94r8TMl/+iOcFPFy9lqMO9sW24iRBwM+rE3X426hTJawLEePY/j9XBsOJlzR6z+2KDQvOT7Yud34g6CVDRUl26c4GJnIbOIH78H6fM8q3EaD6QXXxQjKDg+5aaNJhWaEpT8OkW/mRADO8rGCrb7x1aaNigoBk2KK2toXgu9u5lwbKdOC9FCiKHLSIk8QDjv99s4GEtpB2C5kXI3Ax1rcH/Ga02mVzfRAzGU100Pwr7V0+/soX5NvgOyywy27buwgC5EQuyMF3LxUSj8zNxug4+tYBNQyOi+ABj9kNWxiSOjnmI79Z0mKvOoOM/ZYAWjMZ9xAS8OXFZH15EjR1hZg32TpgAAIABJREFUGU6ilyNHjssITcM79ka8Y2/EXHuMsSc+wu3nP88dV9tsX6vzhWCCteVxbj0DRzcHhxWEYO6pR3CfegT7//p1xG13Mn3vvZS+/270fTuv4MqRI0eOHDly5Mjx/OP+++/nV3/1V1lZWeHw4cPPd3NyPBekwm4ltkcYczfxzXGQCt1rhyGIRkBTgquffIrqAYFYSRM6IckeihIKN5CcjHLYaN0BEam3I/dKJJANVtoPrGNeEB5PoGJkWkg7aezuOkq0OVV64tIz6F6btlYeecwoKBTjC2dT29KFBu2tKwuJ3NFN0FY2ljJoiA6vNK8Pc3TtUWD2YiEA04KWiv4Vg2HibSQUlJ01ymaAU0r9ZpOCybXTPKPXMt0O5baDHt3TUtfDKRkUG/PomoapTaDFnCcdkZGnYwR0NAzhIM1UtBClUBIqy5twbdI1o0VeLinDUZXV+yvuaa6sVLCkS1sM+jErR1e/Lc0F9O4mheWZITJPAVPW+f4q9h7ZXNKTNFj83mpnVlCkrBWAJ1UYZtKoUA/WcESbk1t1Zspj/ce59xxIFFqK6F+Tda7U5yjF6u6PwWic6P7weGHEFgksOifoVrLcdjAeI3d9IREKWk7Akr1JSz3EdeunuZ4yChhP5QcyAwtTunjmZJhPrNc/fsqlieApOc+BrAb0xM/AGt6V2eJs1LoenlCUvICZyqDvRuoCWWFHlUBF+eTUiJyWe5+/wpvd8QRUdhAxE2N2QHzbvkiJNhoVbwuDSYiNDT0jXGcalnT5YuMUV3RcSk5ATVhsyCZLwSVeWjiGGU0KX966yEWrllmH7QoKhPfSEg1Mor4dIa6lEchRCxN278+dFu3Ed42aex1fEOfqGzEXZiHoIJFoMqDs1/HNcRSV4cqzz07XleFrTimmN1cJjNHuUYBAKhqOHzqXAd1aRxSvjl3DDiKZErt3lwa29LDE8CICX0pOb4YLYa6eLKEk+ATReQei3qgR1Svjl4uUO8nnVfNt9M4aRdunuNjAqxTQfIdCtPCj583tBl22VbhIRqLQGB84A4MuFKPnzrdZ9wfX4BWqVOjGFsyE/dR2AsZLBmUz+bwqVP/2Gc2LiLmb0Jvz6N0t5Fhq1X8EPRgtqJY6XfbPL4c5DbubtK46jF8Io9KVmzbTi42oXVH7nDp6exXNS4UszRB8+9ck3EH40miBguF7lLyA3tNjyzZ6YGJoBp7s0pLbFDA54E8hdUVQNAZzipKx51Nh+E0CEYBK9lW/zaPu/ogxp1DUZIemdHczUb5gcVmFrg984AO8//3v58///M9597vfTaEw/AUhR44clw/BoZfR+qH/hNG4QOXxP2D21F/x43oTcVWTr95Q4c+CKqX5Eq86LTkeW/ypK4n+5KNYTz5K5//5MMYtt1K++42UXn83xuHhpMk5cuTIkSNHjhw5nn+8/e1vx3Ec7r//ft797nfz0pe+lEOHDmGMIO+AXBB7gUGpMG9GnGPYd3YTXUhklLx83AmdIrJ1kKJh46Zvb+zgqrOCphQzy0+Q9n+k12d7vsyMCtRHRAj1WhcnGNfbDkqB23I4OLORakesQSPJk1i7YkSNFggOnfl7torbSA8o7zxeywUDx4+vYA8wO6tIJHok7G20IiJNhSuji3ZI9LSVQ111hurca66WxPWMIEvb/oAAq7iDVYeekLTdgMCoUIzyZ+1FOysIi32tE0xp46zOvgq3ONPfVz1zgrFL32bK3Gbz+v1DAur0UpKMs1xBVxPMjBUx3Tp6Yby/z5XDggSMzo9T9rZBKXQEIp6vTIE+MpeNotb1WHBtZhJhwGICTtQprgwG4kPGDept8pprlAsGencTJQIU0NMIHnUWKKhYmNeRFo6YONmnWpPwhaTst/AK0zhi4P5ZbG8kItX1jvWEpGn5TMWcQeuywVF9QMbWVFiPEYmjKh7GUkWEbmyQiBiZansCT3aBbKErDdeXtN2BKOFoAS1lUdLC4yeti0i9iCF9xrzQ/adLj275UNQehnIIrso6Qg2Ty8Wux+SFNmNGm9Z1VwyZ2gKxYyDH/n2SUR8oDWSUp2vXZzVVsSikyN89WLEU0UkzoHkdtNI0HeVDZZjvDKL7bVgeilCM0TQRSVhqyJmkIdClGuojUw9dTA3bxzb9kcbAmuOiyzpHmWDRrfcFsvlgg+u4gr87eYnWCJEL6DvXXHy6osFk1M7e4og0hh1dQeZEJnZ40ZRWW7hXTO5dXMwoJpUK8x3qOhjD96oYdFBIJpwlSj1RYi4UMJSm7yg8bXY8SrHWaVLsGjax1vWZcHW8rocqD49TTSmMDJFKUxKhFRmZsCy1acFP3ku967GBy2ThEIFRRt8+x7gauMT1QDK9WKfSsnGPTKFiwpFM3bd4LsTeo655yXyWYQ68wTxS8WsUMNlyttAAoRepyw7Qe7ckL0ApBdKHaLGB1ks22C8AjWCNAuH7Ki50lf0mcS+e5nXCd1B3K+qLTZSezKW4G6bWw7muELSZWG0QzAUElZAPnVkcOHt7Dmajfj78WyQFXl3EHV3J//G7YA7ekVnfHQLl0QxCZ72mJBOEYqWtPJp2gDM3TiGWf7BXQ8Xboug0mN08gDN9O0bXiTnKBGQs2kjXMWqDr+067F+wuKxC14ULF/jRH/1Rfu/3fo/f+q3f4o477mBubo6xseG0egCapvFLv/RLl7MJOXJ8T0JMX0Pnng9h3fWvqZz8C8onPs7d1jp3Y3PpmMlf3VrlPwVj3HxO51WnJTfEjJeaUsgT36Z74tt0f+8/Ylx/A6XX30PxDXdjHL9mKLFxjhw5cuTIkSNHjucHN998c//zhz/84V3La5rGyZPPPSxVjssPpSSa7SQ4hV4+K12FbKZAUlMdLOsEajq+KlzhiSQb0ROj6jLLJRSFLlQCSOfpySg9YreuJFKGTrSuExA0N9i0XMYtn/0akUutd8bdSSYjlg9Kt2y2VNh2XQZoSvbdF1mElRZnxRSUO89QE5u0gCP6fgoxambbX6QttxmnzEF9mg25t/Dt8X44L9a4Ap/p0cXxA4Xt+YxpPiv2QDQxxcDV0wsfl7oCICQcu76goA+z2RVvG8UxAOZaJ1jZ97qwlsCn0KpTUx1MT2C6AUE5SWplOSHCSJGh0JDs692QrKvsNSh7IREo9eR5ZQbx3KvDcgWBkLg991JsZXq6ob1N2Y6ucOdG2+PobAUnECxHoTsPTpQoGjotYePIzYxjk9D8ATEcKEHbGibBRz06mx2P6XEZKxQWbDsBHT1A8/3+/Q5IihztiJDuuZ6MmPi3r/00heI+1rWb6VGkNX+pv98Jei41OSRAZaHrB32Ru/eMbqk2WiTolCLxdSwW6tGMBEBdibDlqU7ouUbSmF4OnzNDCMqr23Bl0qm5USowPSK8ZQ9BPHRgL2yZUn1uYtQVT2ymhGyl0FWAjAhfTcpMfsMbcS1Z0Kw1pttd7OnKkLjcdAImnQCkwvICXF8SCJ+pqqKUVdcOc/JWJ+z/TiCgklFOSEzHx4m5SKVUTKw00Q4WQQOhdg4FW1nvkC6hoN/B6ebJVLjBdrCZeQ3pEHBxlFZ6QleIoNZia3mb+rTN5OSwqzfr6e9E4S9H6JEAbHtL7Is5bzQ3ekcWx8FtjzgqjqT4tNN86QUSDIWUyXHaQ3W7iVHZSigHlYbNsaWnUIeuRVNhDrDx4s4UvVCSQErarsDQNCae2eDiTQfwpm6j4m5iexLpDcaDLhWVpkMhkKBrOEdnYnUNz7k9dL0ApQoo18o0oCcOQ2GocIGA1EwMwvNnfZ9QKlycY5XieT8H9ViiTiBaCXnGD8KFMT2hMBnlLznOhAp2V3AAP+XQKwbtfhuqzvJQ+bKzidaN5OqdvkfFhfT+Yh4bxUyiJc/GAd+D0ZvzUX1XV0F02QJE9wKLj11g7NSJfvmS36BrhAsVsr/bqcR/6e9uz76FLxxcVqHrQx/6EJqm9W/8gw8+CJD5Iuk9/LnQlSPH5YMaP0D3lf+K7st+luL8F6l8+884uvwg/7re4Ge0Jl+6psKnbq9yPihx1xnFXacVt1xSGLFZTJw9Q/fsGbp/9AcYVx2l+Pp7KL7hHsybbs5Frxw5cuTIkSNHjucRzzY/V57P64UHpRQYBjvRCFuyhYXDhqixJuaYNUPyzxeKZrNNVoC/rFB8PUnFkB5oBVrKoikDDrkjwjBFpFGakB931pCajl3cz1T3ApvtMlIqdC9A9sPlpISLHVD029CjfZWirWwmMCkYOroKwhXuIxD/NWIon5rY7J92UzY5rM+CUkgkjrAoAhYODl5GbUmiJws11cYTbaYY7/dnguBXsNmyKLg1pLCp6mWapX0UgjZdtXMoxh7Z1XEFvpC4I+j7FVFj2qxSEAPXVXktFD1aqrvrNaQhE592Frp64stO1eup8GUJZ9Jga2I+CgoGpi/QlY9SapCTS4EyCiNF11SN/c+Xanaf89yyfA5PliAQtGJ9pqEoGPqO17LkNZhkJrGtF8Az0LPGpQYx8TntVQpkMhBiR9lUteznb7zWxdo3jiiaaFKiO02Qo/N0jTXb7FvYW+qQUbpDmnBN/9o3hU2fnc8IDQmhsKmL4V7VgOmuTpo2lobWzxU4Ck4gKUbjKKGFPks6QlOKslejE7k09BGioEBi4SCUxEcA1cxyClCRm6PSsLFnxtDjDlMFhWYocLuxUJRNJ+CgP+wmjdebaE+8mVrGu1wqqifWUC037MvYIze2aaGLAlx5JKPmJEwnGBK64i1quzsLgFv+EmQI9MlcgxnzgQzD3sr/n703i7Ulucs9fxE5rnnteZ99hjpDjR6KumWbMtiYwRijiwAjrrDUyBZDmycuqFtCakstuXVfsGi11P1g8dStBgSCC4bCjcvc5gK+yG4bV0F5qqpTw6kz73lcY44R/ZBryLVWrrX3PqfsKuP8pKqzd04RGRkRmfv/xff9210aL97goOlj7R2w+/AS84yTGRlExQnIXT02n8p2n1yd3YmydGxFbxNDBXSdRSIjW8gxTAI2eX0Zxyy/us72I8vJfq2p3+nZ4nk2KIWnFJaRfV86Veejbi/nHho/irEOWrDUO0Zrmp3sa9g77RGiq19dM+6ghEHxcLR/bjR8Ct2Isn1ce+kJpWSk4kyyIeodV/K3EMUYK2qDI1EaDnSLG/6LnBs7px1ESJX1/gZz6/nevWhuBHtsB11C5XJhrIb9p2ph9N7jKb9ZRq0HhdZoOaplkipAdvfAnh/NiZY+JopHFmX0Sw1jhVDJMNEk6q1pue2SsrJHpNlTg1pxB6d1i1I8HFevRztcvjX63M20Ujljvv23/NfBG0p0feQjH8kD4TlyvBVgWARXfobgys9g7L+K+8If4V79c3623eRn2x1umCZ/eaXMZ54oEfoG73pN89TLmseva6zUnBvfvkX3j/+A7h//AXJ5BfsDP4bzoz+O+c4fQMywyMmRI0eOHDly5MjxxuPq1atvdhVy3CfCWxuIZrZNXB9thkqg9fCAeecMAPvtgHp4MlUSgBTGIJrR0j678TYdVaKhBD8wfuxRE22aaOAww8ZOakXJ36IZl1GqT1Ill7fiFoFIbKHM4GTKiOlBlmPiCWOJ6wGUFEiliVIE1G21ix3VBr/vq4wg81QieGy7SIKKxkjhAjTIxm2KnWGiGEvFOMEBdtyGDKLLjIfHdsPEmik7aDtMLt9WSX8wjppU9/4Ff2EVEccj7MVJlHSDK/cicELrmYoIINNW7djrZxFdWuN462A+hE6FbcveBraxjCYGpam/cpNycxutUqGqvqKH6b3DT1nCRZFC73ewX95mCYOtB+eTOg14zWFbtfyIVhBRtIzeou1+SWMQk8q1Pqz9FpRKCA0R0cwnsa2PphJdAPXbh+xdWRzUM8vurI/i4UlUKdkw4pONU6l8oEgy2EfvzKv1CHjHwulkBKKFQAYhlQ2P9mIJ1bcR1BBlEGNpRLEepPUZPvRhDzjpGg6hGIyj5MI+L+zeoBuFFO3ReMaWOkz9Npl/DpI5uA+7E9CdK04EkcNYYY3FRU8aJg0I2VJHSCU4I+eQSFSGCtS7fUh46GVeA8A56MDZ2cqqCaRuQ/YIrpMQSlmKriM/oBsp/EhRE+ZE4Fn0VKXxfpN2b+w67YD9UE0OvzcoIm96s1WE0wq04xZGj3wo+rs0iheyThqQkWGkcMzROdAKWxiRwm4HBGVn7LxhG0+MizHipDv2fo2UprDXGC5NmcIGZ27tFVXuJmR5tXlAxx1m3ItihdCK9jHNpgE5zsP2Lp6Vu6qPvoVvRwXcDXY51EFmX4qUHhjK6gn6EhCCduzTUj5Ca/bam1xgSEamryiF5KyYZ0cIuoDbaA+OEYDT8PCrbmJXOYbDuMs5rWkF0ajitIfSbpv24tAOGK3pBhHNGDztsVZzQcN+OEr9JzaaAi0EbrCPHaW/VZLaZz1RY5wQG2vr9H2bQc9iNCt34AkW/Hyv4Q0luj796U+/kZfLkSPHG4B4/iHaP/KfaL/3f8J5/Rncq3/BA3e+zP94cMh/PDjkn4oFPvtgmf/1nS5OAE9c0zz1iubJ1zRuau5U21t4f/FneH/xZ4j5+cTe8Mc/iPX4EwjzDZ1KcuTIkSNHjhw5ctwnvv71r9Nut3nf+973ZlclRwrRrX6Q4/iogt0JcW7toc/XwOhZ+EyBlDAeezHE8Bs9ZGjpk1hdjX6/RzdvsnOmhBEc0eFkAcG+0sWO2oRmkt0lIVBOdPoUDE+WWUHajICxV3UpHnaHYRvTJI4VdjQkBbOsgvpBtWmrxWcWSmKFpdVo4LEgbPy+iiibLxkgI1aGEiaF7hZG7KF6QebiQQcWYsw7W1SNkHarBVISEw8DmKds89M+otH44+yzdYbCow+lJ/MzNdrfoBP9BJW9Q0qNFtILUMIYKBeGZFy/x/UqNIXtEBLUt7cGAdLKdovGmepE9f1IsdcO8NXQStE2JcUxReNkgHCkNPxI9+wD78WQahRGTx1UXT+iHkbopS2Owq0MquMkmFIbpQa5mY6tTzpX2oTVWfLP9JZJ/l/ea2P6EQcX55MtJ2CpYqWHiqgU0TlR+Bj6SsFBHcbKCsIGe34y3kdy/Y1j7PKFo0lSaVq+r6NuxEIxRYrqhKDYzyIDe9hXTSRyZJHDgW6xIKr0aWyz6eNsNPDmS3gNn9LUq6XqGE8nw6YhVhC/sktLVDguB9w0slyg2Wn1cyUGLIxNCc5mE7WzgeqRvuPPNs03n4bEB6hsNEYJhx52WgErarK0cUTCGiziAFCWxpjxSlTdBk54iAyTZH0tP8KUZk+1JrDDQ9weqTPoM6kqpKmbKNWnIssgSvWjvhXmSNkqpfYazFEZZFE8VEgy5ShTeUgVoXr5s2aR7KPQWC1vxPxToLG6wUgpsj3W/3vv99f9XSpu/3tkypw+2KwnDjHmq8S7ST/XGmrrDZBDoitt3ykAG4uacNgWIMfmwcJhFz/DPrNf5kEnZNv3OFLRIB9eH+XdNp35pNyQmAPdxIsUpg4QkUfTMyk7o99dZtxNcnkKScdeGiO5mDr3Tk7Fk+2mpJ2ow/Tw3rpzw3YJqsURcmz8u03Le3nnvDWQR6dz5Ph+gVXEf+Q/4D/yH5DNu7gv/yXOy3/OBw9f54OdLpuGwTPlIp+/UuJ/f5uNFWoev5HYG777VU0l9Y2k9/fxnv4s3tOfRdTncD7wYwnp9cSTOemVI0eOHDly5MjxFsCf//mf8w//8A985StfebOrkiOFZi+H03Qt0XBP/c4hZrFI1LwF73BOzU5YwgUmFWDjOY8UinW1D3f3uXHcRdN1SOUkkumgWNaqbCICQuwZydHTmBZkO4m4SDs241xdlrUjgBm1MdXYweMBHzF8LnGKBJHdPdTYvfbzLsHpA7QAUkcT9mq1jQb21jUAitEO7cJaj6yI7on+AE7Ul0avffJ7GSh3Rq7VU9+RWJaN95Hb3rdZ6HQH5TS8MH3y8F+d3jwSLR45XKUCxmY32wqqE0wSHUGkWGc/42gxlbhseiGFw+4bsiLeiBTFvTal/Q7CMeluXKUlTp4/arRuGRXSmjOv3MYZCzqLSKHNydFlxR2QlcG5p61B/9G5reEYOykRHsR9FUeCIy9ivmgjMjhOESuqG40RkisLMhruHx+7ozUfDR33beZGMOM+grFFCVrpmc3XzbBW7eqg1/dlv8I46w3kYZfooDNxfBbq7ZeZeqTWI66D/f7S8iPwwbNCTjJd98kb25SD+97rDgP2XqQm+DJ7q4WybWKjn8MuPZY1Imix2PgmAIUM5ZoSMnshBFDea2P5EVtLYzu05tALWej/OuV+2s48Ze+ALFJlHCLyaR1sYiqNTrVlN1KUGzdp+jFuOBy/feJ1Gkna73WN1SqduQKV3rs60hodTt5vGKuRASW0pqUn350i5dbXR9o+tOKaSClG5oxCuDflrifr3CfojV6+uMpmE7sbooSk33/LV7dHXst3ohus9N6XwxyWk5A6pt56jaDsoMmehkTRAW+oJOtbxHbjBpEOBt8NgxlprC0Gr5hjnnc7iNnt5fpUGc+wtJssctlWh/gpU9CSvwWugx6jYIp+L4dkTzE/jn4J1tg7LK20VEa2EtlQAeVUzsXiQUJ0FQ67ycIMWQcB3d570B6T7n0vW5/fV0T64x//OB/+8If55V/+5cz9zz77LC+99BIf//jH76eYHDlyvMFQlbN03v0f6bzrNzG3nsd9+bMsX3uGXzva4deOmrxqWTxTLvLMxRK//5CJEWseu6156mqi9qqn3Ez04QHe5/4K73N/hajVsN//ozg//kGsd70nJ71y5MiRI0eOHDm+A3jxxRd57rnnaDabmX+Mbmxs8LnPfQ7bnr0aO8d3H7vdcOoa+TBWrI8pB7qhwjNi/CA+FXEitB5RdCXbso8dz8l1mjL6gaVCmJAD5Z3WRBA9KUNxR+2xKuco4uD3A8G9/qs1IwSIobKVCFmhzfH7kq1eaFdIpuUdgySwWwiySI3piHo1EL3rjo+/EUJNQ2xKjBlKvHuFEfvUmlfp/1nmtHzC4snH+0AJdg84thcqTWWzSWwZdBZ6yopeO/lEeDqgOnaKGHKmoDV3/CNM+jmaxODf9BhIUxHyqAkDp8rhnUXSxgxjSjsthNLEOn3+G6HBSuqVtfpd6PRNnRy1jcbg50B2QJ9+HhdajSoVe9VzjzycziTxN07spDGIoabaziccjrtpyjom794IIgpH3azDpyMlVPEHRNXolReu72N52YTmSPmRjxl5RKaLFvcXqyg0PI5ixcKN8TlE005ZzJnKm6jvaZC2+gQwMubXaXC97an7jDAeUwre31iQqQUUR2MkidIaKQShUmgNliFHyhstWWHtXx2SQuNqFtNFCY8aBntE2Bn92Wn5o5aVvev4kTo2Cr4TbbOCNajTLPJD+EcpwiN1P73xEoTZBE5le0gEmtHQgrR/q17FQRty8Pt+JxjLHDhEf+TqHhnfYYqKr/d67fghpa0mle0WzZUKyjQoOwbCnswdamGO5qTMvuygF8mewtnuETORLGAqf5ANMj3LaKU40qM2yQV/ZyRH1XjTZ83ZQgqEIVF6qALtW8R6refBWWYcUutTqWTTU100ZdEMQOGoi0biZ7SZ7W2jC9m2l9PQ/76yuyGRbQ6soScUXUE8GCex0ql5MlV+J8Bp+gPSPqzWoVogiHsk5dh3yg1vm7efqrZvHdzXzP61r32Nxx57bOr+v/u7v+OP/uiPcqIrR463KoQgWn2S1uqTtH7kP2FtPot97RkuX3uG3z7Y5LcOjnjBtvn7UoG/Xyvyf160+L9+SvPoHXjvVcVTL2vmU+pafXSE//nP4X/+c4hKFfv9H0hIr3f/IMI62erNHDly5MiRI0eOHNnQWvPJT36Sv/7rvz72OICf/umf/m5UK8cpIGSWDdcQ3Xg0aOeFMbtxwHYDSs0pVkJiMvBhKC8J5Ixszy510kxuOtJBRxFrfD1a3yySK41NdcBFucx+Ozkv6J3fCWPSXIGcFkyaUJQNN04GxY7Tf02/bxnFKEMmS+FTiq5BQE8kCo2mP50kPIlF272i7N0hTftVtlsoQ6KrTqL8OC6xyokwrP9J+sihbtHVAfJAUu4FW2PbwK8MraBuqsnAu5QCGceU9w+hbKfIyRlWnSocCVMKz6dSL9LUnZGV9loYmGFAdavZu4+krzUsjzvREdEJH9G4PZvQOhljokgss8Nqle7tgQ1YGgrFUsnl9WNSbGl0MiZO2400lLyNkfw4fRWnjBV2NDtH4Dg21QGWtplL5ZzbV03uhSqdu3lw6nPSCtQQkwesOtfGchWehOSywyZumJSvIoOWe3ZGoSer2+pLoyqMS3KFdXWAn6HQOi36VZA6Gpv2TqGunHEjla3mTFWbPGEjDAip3u9m3MX0O2BViKUNaCKl0VonajFILNx6/G1kV9D+kBiT3f2JkZ+2idNmAfAGJU6bZxePvj26QeuxFEVT7k/IwcIIgZ49j4vhO+ZErdU7aKkpBko7GXcJe+UNVFa9eiqd5HL0g+y5UEpBnGXtOl6sBlUwOfJC2Gwi1hsUY4WMNAcPJBSalgJSOcI0AlfahOp4Rem0PqmlAQo6fjRh25dVVyc4ouxtDn7vpHOSaY2R8U7XQQSGpJXxLjZjb4Q465NbAo0ReSjpjMwvbvP0Vp9pyBm5B8WxFsmTiFOqxan5NHUvJx9J7reWH41YYKYxf3NIyvetsKddthmfckHCWwi53CJHjhwJpEG49l7CtffSfv//grn1PM61Z3js9b/lHQc3+e2DI163TP6hWOQflwv8wXmb//tD8HCP9Hrvy5qF1Me6bjbwv/A3+F/4G3SphPv+D2B/4Mex3/2DiGJxej1y5MiRI0eOHDlyZOLP/uzPePrpp7Esi3e/+92srKzw9NNPc+XKFd7xjndw+/Ztnn/+ed71rnfx8Y9/nJ/8yZ98s6ucYxw5AtLkAAAgAElEQVRjUYWKa47Y9mRZ7Gk0djsYWQV+bDEqgjEFzLRIXKDv0RpNaQ70yevUxw21jYXJkqxyK2pgktgASWPYOFnJ4Kdi7L7UFOJrHFJnl1E47FLeaRFbBjsPLZHWu/SvaRqCTicasX/Kqtdxaq5ZgeY0QmIsDHb0EZv+qzhRC3fsDmsbDXaKNvWdFoXG7ICd5rRqo9nH+oTsZ/SF0m57hOhq66Re6XYxhKC21Qt0q4gwyu6PaasyJzrCMxNLvYNOCCWbpp40aRMZ9mYNP+CmuUdbRfhT7M+OgxPuY0dtimGHQymRsc5UfsiMIHFLdFiWGXlgMnF6stSM25N9uze0puVdkZFCmZOWkwAeATv6gIKqUe5t6xIgdBJYtadYQ4qMwLvlj7ZHZBuYGRaS0xBhclD/Adj5pxOfAwn50ie5IBn7ghhN9j3fK7LuGcA6Jbk4jvQ00z2FQjSYodYtHHljtobjMpHjry9SufIEAqHVwI7NVF1ahXODY1sp0sKPhhRcp3yRuDUkLmV3d+ItmGUTJ2HChncWTOWN5DPsTrG51EgUEbJHqoh4entrmVZbavZ1EhCbNa3XRIk5oejQQsNMxVTbj2j701MEKjWmb5r5PhE02iFn14eK0T6xI4XIGAkCpMiWUY+hNU1F1oMfKcrOxNUnUN5uETrmYJ7wUnaNhYMuEsF+O+SgE3K27iKFQPshFOWIWjcNqUOUsEbKdOOAUpgsuvCtysQ5xb3s8XoSBfA0hfysnnpwvs7c7Ul71PRij/G5c3BdpSnutKGS3OM0kmscqqeunApxEqPotyZyoitHjhyTEJJo9V1Eq++i/cP/M8bRdaxbX+TsrS/y63e/wn9/1OBISr7qOny5XuALP+7yhz9p8OB6j/S6qllqpC7XbuP/ly/g/5cvEJsG/MDjVN//E9g//H6MtRkrqXLkyJEjR44cOXIM8PTTT+O6Lp/97Ge5cuXKYNv73/9+PvnJTwJw9epVfvu3f5tXX32VD3/4w29mdXNkINQhDdXE09mre/fVJFmgNczfmq6EyA6tCoQY3dMPxEul0MjB6uZd3Zg4eypSBcn7sOQLiZK8YDoVXktdO3IlVlasKUOhNk4w7PRyaBjHrKC2o2xJTT/PjxnGlPbaIBK6sKE7g7YSjAbhMq8zFpjq1goTtm0nJbpuq52BjZSOPXbjbVblpJnV0rXdE11vGhJiSGTkcRsiK+7bndKf0SCUSlQpQiC0xhrPDyXA6JFbZmd7Ml9LRoRQ6pi4lwOl6UWIQtKOpheiUrmmJvKvjVbtRMgisPqqKKFibNUm7rrHXlELidAKjxPmVtMg4wCEc/yxI/WdrEdkzw79Lb22y+ajK1P3V7ZbdM57A6IrqZ8eyXmVhbJwh2MmY744EVGROsSPNK8ejJYpU4RFJJ3MZ54muQaX1fpECcOszv2rs+Q9qDn68Ow5LIYqlyhDNZK1QEJ4AUepSbTfTlk59CBrvjyhoiv1Q1o90yemB/tTl+vnGNJ2GaRFS6cTwmvas8jP3hwFAtMw4Rj1XGmnhdvwaJUXgSHBHMxQ3+yqJq6wQJeRM4gDL9X3Oqk5MIxVJj80d+eQC51FVK9VYsPFjO9PRaSlzmzjcchuyPIrU6wshaBkGxx204oupjNsJ68dMrWQZnRqmmyh8m6byM6g3DTU14/oJ43TGvZaAUsVJ1Fci8mvoC2VEEdyXNguxMiwd8Kx7wClR+xjIXmeGjItCdMo2cbsvhs0kSpZgGTEQ5rZqxUgg+iKM0izcTtJQWJDetAJMKdYZWZDJ+/yaY84J7py5MjxbxZCENcvE9cv4z3+axB5WBvPYt/6Ih+8/U/81O5VQHPNsvhyweXLP+zyn3/M5tyWHCi9VlJzthHF8C/P0/6X52n/H/8b+8vzxO/+IS586N9TfOLf5Xm9cuTIkSNHjhw5puC1117jAx/4wIDkysKjjz7KZz7zGT7ykY/wyCOP8KEPfei7WMMcx2FD7aBVG4XCtypUZAipoEU6gTkkK4gDZttyCTFwexvZKJAY6aBvL8pU3Ougqd5TjqbiQYfmmSTDkpyx0n0c3aqbqTIyp6yq9ysu3QVrkuAT6R+T++mvSu+HFtu91eUnuT8NdOaLlPYn1UAARhATO0ngLU0IZil1xjFe96O1Kk7Tmxk4nYV+cKvsrQOJpdy9YJA6aowQMeMuBX8HhKTtrAxUKIe6PVAqQC9IPRYD6+hsQsnpBKy8uIV6qAxuoo5YvD6av0cIBpKVTif7OWRBaM2eblIVRQytKe22qG4e4wd4D5CxQsaKwJgknKQQ/cQxx/ICmn6f1Cfqm+0gxjKOwJlUHEBCSlpRm9hwsMMGQsf49nx22cbxJa68vDVz/0FzgzIWxT5ZoMFpTCcSBQxUMQCLGSRsX6VgYxJMCSKnyTAlJ4Pg9bsJsS0EdJwVCsEuVjzWjzIJ5dFtImUB2ycLCwedwfVPiky7wPsIGmsETS9ivmQjAFOKCSXpuCWoAORRg2gxmV/tls/8jX0QsHt5kahwgrQSqTbzykXcVsbY1JrVV24Ofh0n9ISOkrkyg1sLVczr3iZXgwYFmklP0RoRdGi2A5BJmykpkErTCWKKtgF2CWgggEVV5oDpc4bhRwPb0lLUguLxSkolDRqGhRe3sbzZJPNBJxhQZ9GYijKY8m4zDpscJ5OaprzMQmxYw8D+MQsnjEiBMdkXBSCVRqqI+I0VOQ4wWbOM5TnH1D/9fdQNFYGKaMUhiOLErfe/A1xTUC46dAKBhTk60DMwrQ7tICJQs5WZcsZz64aKYmubYggCdSJr4yx1mESwKucm3v9x0EWrlNUhST+a9r0hSCwn+8R51mKp71XkEeUcOXKcDqZLeP5HCM//CG1AeIdYm8+xtv7P/Hfr/8zHt79JqCK+7Tg894TDH7/X4eDQ5slX4MnXNA/sjF5ufnsfnvk83Wc+z65j8MrFcxw98i6q7/4Q5x59iIsLpeSDJkeOHDly5MiR4/scnuexuLg4ss0wDLrdUZXIgw8+yFNPPcUf/uEf5kTXWwweAf3QWWBWQO/NPB4SomE2Jlcz91fn922kACo7LbpzBYqHXZAVQOCdMpeMVBr3qItXKxxry5dGd654Aju99M8Cv+oSuiZWSuFjHROwz1I2zIIAGqtVrG6YacHWD0aNWxaZwdEMU7BsaEPeM8n1RmJaJhc7bPSsvRRlb2OwPU1yTUNWP5ISLEPih4rF61vsPlaltDvZl5W6t3xmZW+DI+BIt1nTpVOTXCcpMjBK2HFPvTXWakoKmiqZe6U6GXkF4OtZ2cdODjfYw4q7pHlw09vI5ttOZEM3e7/2AzZVm/NyKTmeSQJNCTmp5AE8ay5TVdXHoqyxribnwq41T9dxKdJFC0lg1hDpZDVK47QSss01DUr1Avvbk08iy6ZUaIXu3bRrScJYD+zPrG6IDNWpSa5pUCI7nlGwjBELvW7NpXA0nCcDswwk93fYDZkrWJiGYIqL2QT6j7R+92hg21fc79A4W5s4Nv2uALDjNp5ewI0OOFp2KDQjtBgNIa9dvY7sBdddUxKOjYJKNyHlWxMLMWAraqBxgNJgMJZ32lRv7LPaDujWCoQFazBndsOYgm2gzSH5ZHiz319pVa0AYq9BKI5oBxFqrE4agW9Vk3vskavmuLp0ePD4DxME5zSLyWQJyvTZoj1fnLARnTW7OAddvLvf5vXSBqHaycxMGSuNmhZSUxojiBCxRvRzk2mFqQJUqcJ8VM60pT0J0rXeH1PyymlWg5kLaIbHHugWdVEC4LnDdVTJxC2WM84ZnmrJpH+KSAwqtSbnE1X5eJ2n1MsPFf4xFo3HoRPEx2YOPQlERn+YWHxz3AtJK7ZbAQUEMuvwXNGVI0eO71dot05w8ScJLvZyQIRdrK1/5ZHN53j79jf59e1voPy7vPCwzbOPu/zXwMG8a/POa/COmxo7NR+X/Jh/9/JNePkmfO4v2a9I/vFMjdfOPMr2Qz/D8sUHubRQ5MpCkcuLJQpTZPc5cuTIkSNHjhz/FlEul9nZGQ1G1et1NjY2Jo49f/48f/u3f/vdqlqOEyMdRJEouwLd+7NXy8pfYkdNZEagonIjJpIu2+oIn/DUxBBAdaOBVysgxiOFMxA5x3+3p9cV91Uc49ZmFcek2U6C3lmt09SzE6gPVTUpSIFXdbNzDfVYofHV+qelZTr1winP+M5BConOoOlm2fydFqYhqLkWXhQnYfpe8DAriKn1yUmiqijSyMjFdTvYOlW2Jc3QPu20MHtqIWVIZC+XnDgRgdmzK0PRjEYDpq4lj7XCHIcVZ/f1rLY8gUPfsehfo6W7iVJL64nx2XVWKA1I0uG+yCjAFKLrjJzHzAj/agShVcaz52i7CiXM3rgfXre6mco3ZMnECfUeArSC0Xar3WlxkuREsbSIpTvVBnVQt3DSlgwSW7U0xtvzqHSJIFgHP5nnFSfLwdPRAbbu0p+pjBSZVmh0aaxVj70GgB01sMMmpi7hBE08Z2GwT2iN6x8AklJ1vtfsk3ULijaxZUzYtvYhxZCIrGw3oZTkvSocdSfO0dIcWKcKoDvD9k/EispWOok8FPw9pj2ptnsGJU2UYdDvDVmkh9AxJW8T0KhUjq4uo/Nn1nt5cI1B0rzJYxprkyTkLGgE4bUvsSoiWpUWWU+2E8R0pijMSnttKjcTwkfqCDSU/MQqUxkGNVG6Z6JrNrLHV9YCGqszfDcf6BYHusWqrBOomCCS7DcDqlOaOww8oDTc0BtjLnbm8dPmcjVDHTWo+31bPR4Pf4JOzobQoI85UEc+sbCRWWra78K9fKeQE105cuR4Y2EVCM+9j/Dc+wabZHuTS9vf4qHtb2DufBPFN3n5TIN/+VGXnR2X8m2Tx6/B4thXx3xT8VTzgKde+Qr8t6+wV4OdZZNXFmv8fe0SewtPYiw9wtLyWa4slbmyWOKBuQJmhhw7R44cOXLkyJHjex2PPvooX/rSl3jppZd47LHHAFhZWeHZZ5+l0WhQrQ5DHDdu3DiVDViO7w7McQWEVUKL/V5upEnMSlR/HLKIqNAsE5pl8DYxT0hU9XMrDa/b+/kUwfN03qQsjFv+JIEXYyTYIqXAOrpO2QuSfBnWHAXLQKHxeyTBseqjKbZF0/KN9QPPu2PXVeHpSCE5JR9MJ3gjtD2nQ/9JlPwtlDTp2EsoeQIrs/vAQA2V0QwF28BtzlYtlnApCYeScDOJLqM9m+Ach39MbqlZKPqJBV/aXkyMWUZlhgh7NocFS04oCYq2iRfefy6o6dCJPeR9BS+Th3fQC3oLbVAeU+hl9fIzcp5XZhQrACOL6OrXVUCcIhQE0HaXKXnbI5ajUiR6FN+qHUs8AZiqQyD7pMKYzlFwfJSYhGQYV2udas7uM2z94TH2fDRwpJsD8uKwE5xIiQiwv3md5U1JaIxZNJ5CQelEDWJTghCJwosh0WVFR7hhQjQ6yiUyyiP9fvvhJWSkCAsW7pE3Slqlijfk5D1Pg9b96TtpuFnayNWXRq04j+sTI23f+3EpjBmf6d1gf0DMyfvMr3VcHsmToD82jFhR2pyRb3NKw64ddqH3frajNoYKkCpi+6ElHtgTmeqhk0LGM+7vFN8PlZ1Jom1HJfd6cGFuRAU5DiduIbonjw+Kae/q+SJWN8RpZ9+TlLOtC4/DNHvnLGRngJvErAUOJT/DqlZrCkcepXaAXLy/vv1mIie6cuTI8R2HKq0SXFoluDS0zjnX3ePi3lXMvZfQuy9y7eAFvn13k/aGQWnD5ModKIy9QxaOYOEo4tFX94A9uvZzbK0q/AWNqltcryzwr/YF2qWL6LnLlFYe5NzaBR5eqbBYyl6xkSNHjhw5cuTI8b2Cn//5n+erX/0qv/iLv8inPvUpPvrRj/JDP/RDvPjii/z6r/86v/Ebv0G1WuWLX/wiX/3qV3nkkUfe7CrnGEPFcun0copoJBgOLXeNSvfOG16WEx5NzV7SdRYp+dsTdjexKUdWVM+JMrfnNeW9YUB7WpDUseSAcEojKFgTAdxxSJL13QLdy+sSAs7UWLMA3PAAYRuULZMgmh4ATnNbGjmwZwJorCT5jyI3OzQiI4XlRROBJaU1ZRw6E2HQbBid7Bu5V1XR/SCtCJEqouxt0CheOPV1AkK21NGErSMMUm4N0M9JMm7/B5OqlixYwqAs3jhVXFuWgVFbuo6zOCCx+piob+pXlVpcOS04Oo6CZeCYBoKE8AqVpmQbU0PJb1T/KBx5FI42jz3OlGK6Ymhis8buTM8f2L+nAjYFmZ1n7OB8nbW7icJlXlRGiOpYJhZ1xaPxILegIusohnmprNSzKNg2nID3dMImgZnSv6QegkYk6pZjYOiQcIYZ2VTSs7/flOCnSNexwdBRo310fI6LpDNTiRmjkOOcrtaUt06m0BFasX9xcWJ7uXt3xA7S8PeJ7QpplY4yJLGdzKtevQB3RlVtnSCmkDHtBrMsceMwyStkOBDF2MLE1/dPFkWGi04Rlv1mdjrBxAxvvAHK1z55lDUfTjlhBB1niUKwSyxsArMAJ+irUy+durZjGPhxyOZjK2hDJqzofWBW3+xbwt4r+mp0ZRnoGTyWYwhE1B1+A1gmYsZCBzllAZAyJPuXFjjz7UkHBUSiNhckc9G9zNvdemGE6Do4X2fudrYSVN2D1e9JIGJN/c4h0pA4N3fg7d+RYr7juG+ia3d3l29+85tT9wFT9wM8/vjj91uFHDlyfA9CFxZGlF9ngbNaIZt3kPuvsbP9PNdeeJbmK3cp3fQ5t8GIzSEkRNjFWxJuQfJRtUPb2WF7+Tm8xRhrLqRcV+zYNW6LNTrFBxDzlyiuPMzK+cdYWT2LlLn6K0eOHDly5MjxvYFf+IVf4Gtf+xp/9Vd/hWUlCoxf/dVf5emnn+Zb3/oWv/VbvzVy/K/8yq+8CbXMMQuib8kHg+CVvs9cCFKKTJukcZVYYAzte7QwablrCK1GSDZljBJdJeESO6OBxP4q4XHCq2Sb+BmqFC3EVCVJs3Ceor8FvZXtQsUYWhFlHJ55j73jTJkdXCpYkkgNCQMtJPQCtM3lMu2FpE269UJmPp7pK6x1Yg15wjxPnr3ASDKlNxHdQLEs62wytJIz4mFAclzBl4VD3Z6pnus/K4kEYsye8mE8biplEvIVWlPp3p6sa60AvbQqkeEOrgOJJZrdudcg9+iYU0ISGcWJo0qOQZBii+2oMai3TpErZtoWTMD++TlqGw2Coo3b6CI0FCyTojlsgKJ9b+E4M+qgvgP5U/rE2zRYY4mhrLH8RQXrDKP0SVohY0w8PwC/7CB6Cqhx+8JkzIARjo4bAdSdi+x3XsEyJEVbYkiJKiTHzxUtgo7Ej9Sx47M/R45PTxpBZBSx4tmqaJFh3zh6wKSCNE1+NS8tYHw7ISAPz9ZGckoBNKPpORw9q0Zg1qh2b82s40SVYGThQhYkYpBzqq9c3Ls4Dw2bSmNzIueZ0Lr39Ib3qo9hsLthTJ+6jqSN2XsHtGYmINMoDaFZJdI+daVoZig8p97X2LuyYy8QG84g99j2pXMs3tqYmRNLTlFfnxYCMbFIYFFUyKBRJjpoZBRouud7asDp7SWRJ1b/ABiGgJjB3CamWAS/1TBrDBpj8T5tTl9YAMO8btMW7mShZBuYsj8Chu11uLIERkB9fXquv7inpvMrDn7Rxu4GRJcW8Io2ZBBdFiZF4ZzwsUw/yMQgGrMw7lt9WlJQMk9noflWwn0TXc888wzPPPPMzGM++tGPZm4XQvDiiy/ebxVy5MjxbwVCoqoXUNULzF38Cd79g8NdrcPbXP/nv+DwG/+M+doGS7e71DMWIpV8uHRbwG2T/hTXsSOOFm/Rnb9BXP8H/GqErgZ0LYnNEtI9j567THHlIebXHob5K+jC4ve0L22OHDly5MiR498mfvd3f5dPfOITFApJiGhxcZE//dM/5dOf/jTPPfccURRx5coVPvGJT/ChD33omKvl+G5DVJZhe4/AOlmOlJPAMQTdjAB1Ldhjo2xT8yO8UOHb8yP7S45J24/wrPogh4weswCPluYpiiNg1BKptNs6cfyrT5p0ay6FI29AUARmBS0S66/+WvpCuE8kHWpyiXk5R0tMJotPr5i2zeTMLFURJGRCIxWQN9QwaN5aHqpM5ss2Jceg7Z/M0k5qhTzB3wpaCHx77vjE8BlwsfF44+3sBIIizsi2tI1RZ64wYgmXhWkkVyRdTDUkMx4rrvCcvz4Ito7n3OnnNMkiuSJpc3SmOsgvdFS6xELjJYq4dPDwy849E11epLGlOVA0jih7UrCcIkGnf696YH9WsCTtqYF8gV912a66AKy+4AHH2wYGZoXALFPBRns3B9vL3bu0CmeT+oQtXJWM1Tci3C6lwDUlWmsKtknsR9xrYNtzVyEcqsbSM4nSMaFZmyC6Ruwfe9aOg31TyLzqrVuEFy8zf30PAcMAs5UQlYYBxfoqHG4eG6ieZhkLgljaxxJdyaFJ+TVRmtilpZhU+wkJvXKjks3B5QVkrPDLDuXt0QCHnvGUlbTvaV7pw8HGnzK/JARJMu76JEJQdmguzWHd3sYeEwcKku7dtzJMNk5WTgljlCTrLRYIzApmMJ3U66MTKsIwRgtBs3gBQ0to7h573qD8jPdk6BQ4XF0ksi28ahl9exOTmOIMpeW9oiKGZHoW0WWKU2QaPKZygVFCSgtzSn64PtLTWNmy6ATD96UnYsYXBfRRwqXNye3tSrhExPjfgQUf00hVIcAet00+Zh6urSd92JISPzX+ujPybGbZO/olm4OzS1T3tjPOGKKxWh3Ua//yAihNtWRDVs5QoCIKvQUk9weZUWejZRIYJeYX5nmgcPG+y3izcN9El74Pydz9nJsjR47vL5Tr53nnh/8H+HDyu1KKvZsvsPGv/0jnxX/FunaTxbttShnv2mIAD64D65LkRW0BBToO3Frw2Fx4lc78y+ja/0OxFrFkhywqk6q1zEL5EtWlh5ALV4hrF4nrl3ISLEeOHDly5MjxpuLy5csjv58/f57PfOYzb1JtcpwG82sPsr/bJfRjlsrO8SfcB4RWVG2booYjnIlVzzXXomSbbDdB6hg7ag5WFwdWBTtsIgRckIt0RIsjPVQBVDdHiY5ZuSn6+a8Oz9VpLUZErsmZFzbxrewVw6bycUyT0EiUYOP2XGXHwAvBNE4W7knXLBxXaQg4P1dIrBDNkxNd49edhrZz5p4Ve2XhYmNm5qQ6DRZFlV09I3fLGLQQx1qupVG0DTpB0m6+VcP0kz/ILGFQNCxWrSrrU4KtSUwou6Sus0S7vECpuUPTrVKQNvWixVYr6Ut+2aayfXwupmwIuvYiBX8bkITmpJrLLC9gWaP29/0gvUDgl+wJ4m5RVNkW2XWSIlG3NZ5Yo/r19cH2uGhhdEJqBYut2MI2V/FTRJfUMUbsU69W6B5DQMLo85gFy5BUxyw77+tPXDF2rdToDFS3pw4Z4uBcHS2H4dYiDgaSGIUuXKZqziOF5DAcZVWkiqlcex2vHQxyC8GQkKlaNRoaBMdbNYpeILt5cR7n2pAwMZRPZLjH33NSIwAWREKc9+8hqdPk0ToVFhcIwuKwj6UD9iERSp8ul5xfsil4J7OxO+mjTtep6G+hjKwz1aAtZyEwSyNkWDOywGBAFh57fqRoeAkBIHrZ3eZKNmGk8MJ4uu3mDOxcPItfHh3/y2UHEYREx+SxHLf6PQ6LYri4IqsVDXHvIXo99jb03WUEgvIxRFcaBTlafizf2jH7To98yiK6yo6JZQzHWl+hmDXJ1QomnUCNqMKFACVNAqOMt5JYJM7CvFliP2oPyHqhErVnUJr+TLcfWkK4zkBlDoCcnRXNPmEfEWSmIx0ga5fGxHPqnFt4DNdwufdMlm8u7ovounr16htVjxw5cuQ4FaSULF16J0uX3gm/mGxTSnFw6yW2v/X/0X3pGxjXblC/uUepnT1FF314eD35L/lAtQGbjgPr83B1vsP6wos06t9G1WLsSswSEcvKYNleYLV8juXag1Tqj6DmLhPXLuYkWI4cOXLkyJEjR46pMEyDs/UinhciJIRREm5QQt6HJdL0b09HJiZMWVZMAnAtQdE26eo6ZtymvVjCaoNnzSFVjEBgGjYLojJCdPXRr7djZK0P7pWjhwGmqGANtvcJoKw8JRfmSrxERNdZoN4aNXOSQmCeqxOVbezXJxVfE+Un/AIAnl3H6nbYuziPkLBacRGAKi6j3BZx95COszw1Z1raiWxWOKpveyTGglLtuSKlg5MTVzanWOE/BVVRZFc30EBs2FjH5Q8RPSVKKmhcK5j4kcIbU8jMFS0Qgk4Q41nVwTN1TEnYC94VLQNCEBkBYcX0P520MGi7a3TNFRbWNyiQWESV3nuFbuv45z6OtFWT1BGBrNAqnBs5JjDL2FGLSDrU64ukfQuteEhqaVPSnStkWFJljLNehxF9Cy1D0njXOYymj5YC67CL0QlxTZFYO2aoOkr+FlYkCWMPxlSXUgocZdElwDYktiHp9O7zglxKbCZFjCQeKNgKlkHRniznfv6KNYQ18nt/fERGAS00eqwve/VCj0wKBseflQvsucsIZw0hJIGaTLYlEAOrudEdRq8eZq8PW3BMDr1+e+wXbWrLFeyNRq+M0efdR3O5gumFI5amZ+ouR0NBJCuyzrraR0kTI8oinUZbOSXwIixaGcdPQglJJCcVJvIUpEsas/IKpRdIGCpESzFhASiFwOzuzCzDqziEUUL0uGEDJQz2YxetYk6inepWXdxUuxvCoOYWaLWT+cYxJXvtUyo8hSR0bC4vlmh5EXvdgPmSDX72vKukQKbJNCHozBUoHpwgKRyj74wsokFeugjcHfweG86IrSxAaGQri5Q0CcwSdtTGs6rIDMVYFtLKZEuO3rctLaZpR8efmGP1LPimqCjHbfLuFSqlxO0rerOsC50xJTWySZYAACAASURBVFcYa6JzKxg7k+8OU0occzQnYp87C80y3frsugsBFemyT3tAthphnHzTSYGxuES8m4yPqEeYHZ6rEzsmi6I0sRBlVjjROuE3QVkUaOjp/TJkcm6y4jahVcaU9//d8WbivhVdOXLkyPFWgZSShYtvZ+Hi2+Fnk21aa+KdbQ5e/Qb7L/8r4Y1rmLfWKa8f4HazVzsVfXhwAx7c0Aw/QQwUBrs1m/V5wUsLbf5+/hXWF15ht/553IJiVUWsxoIVq8ayu8xy+QJLtQdZWHgn5tzD6MJCToLlyJEjR44cOU6NMAz5+te/znve856Jfa1Wi9///d/ny1/+MlEU8cgjj/Cxj32MJ5544k2oaY7jIHoBBDGIeSffhq3SGaqtu5nndJwltDAoepsY0qJhL1L2huRPwTbohtmBmHixhHX7kKwQdj+QI0USKGq7q+wtPYCzkZA8oTtP11mmbEwnZtruWQzlMW9m56CwMQkygr1exRmQT4YaDU6aSFbsCl/zdtBa0LXmKAZ7g0AagDam5/3qw+0d3z9rWdRpIlFCEhYszlRdzF4jaCHRhTk6XgGt9UDRZhuSYCwAHFkGZpiQgGVRoKW7veXTo+UviioV9xHu+i8PtjXWqgOiy7PmcMMDslCwJPijIcasnCEdewEtzBHrwWloFdaw1RHEs4P/F6I6O7ILY4Fsy5ATRBciCd12nCUiWRioOqwUGdNX8qxeza6jmPIcG0uJ1aYyDToll/kAZKXK+Vqdb9wD0VURBTSahu4Si2xCwbPnCcwKqrd/Wt0O3rYC3Wgin1lB2FRlkfSdHp6tUb97hCkl3Qtzg+1xpafo7KnCRNShYNWQjKrI+jDGiAQBLC1cZDnq0GprbqldSq45sozfxKAqimwZCiVNSn5io9UnubRTRfjZaj+v4uI2PUwpBsHbrD7oYlMWLi1hjZDWVo94OixfQQSvo5AERgk7TgjzwKqghIlI2aIKo4AoX0JEiWrHFJNtYcviQOkURIqBC2fvUVXOP8TBtb0eGTa9r0eWgTRb7J1N+llnuTwgukKjiMjIfRRbEjPlIBMaRaQQlB1zkILPMOs0zDJG7GeOy2RxQOp+DInfUw4FJYf2fBGn5dNcqbBXTXJGda153HCfyCgQmmXiabaF9xBqsAxJyZYcdqeQZGNqGdVT0qqRQwQi6s5UjzZXKrh3BYFVJzaKKGEOiHEls/v8sExB40w1Ue4ECZnpygrSlFyyF7keZNsX9m3rghkEoGFJyo5B2TFYrTlUbploVUD4o++0w7UaRhRT3WkNhpgGGmeqWN0Iq6c0m7D0670bqinbwlZhjWL7kFbvuP0Lc4RFi3NuESOWxD3ms2MvIXVIydsaqMdmad88ewHPWgCRjH2VQWaMIz3HFcbmxQVZBbIVYUGtRKUpCA2foOwgl8sU7xxl5umEJN9nW0+Ox+Zy5Vhlbskx8CNFFGvQio6zRNHfQfXeM5F7PLVhLhRR8zXMO8MxaUiXuGe165gSQ5pESuOYBrFSSBXRrVamtkEa40PPiBSyZ5WsziyzX4xQphxRcLrS4gGxxG5vDlySNRZFlQ02KToGzaUylZ1RO1PzBERXVRRRWp16Ooh6JKpl5ERXjhw5crxlIYTAXF5hafmnWHrfTw22a63Re3uE16/RuvYC7ddeQt24jn17C7uT/UEsgeUjWD7SPHEd0n/Ndm3BxrzF+rxgfb7LtxZusj5/i435L+HfEczHMSuxZlm4LNo1ltxlFsrnWaw9yPzcO1isP0TBmvT1zpEjR44cOXJ8f+MrX/kKv/M7v4Npmnzxi18c2Xd0dMQv/dIvcevWrYEt/GuvvcYXvvAFPv3pT/NzP/dzb0KNc8zCuMWOlLBkP8Bd5wDV3hzNX9JDP/jQKpznjPsQplAEKaILs0DRjnHD4kTupGCxhPRC5J3JfA/9+FbFMWn5Ea25eXyrhhYJ4WaaFofVR4mNAxaZJOE8q44WAst2EiUKUHVsGv4w0CUQRIaLZ8/hBkNS5/BcnWLPna1vXndBLiFI8sNY0mJZVNmItojMEgR7lOxh+CKqupO5b1IoOyauZaC1RgjBzkPLXLiWlBQWbLQhByRXUtEkYGZKQRhrPHMOZbjUihAc7IBO1EStICa2E6KrJBxMDErCJix02R9TEwhhgZAs2he4NtehU3Kotm9QFUWkc4Y7dAilSeSYIwoRSPKnBU6RSjMaPNMszZwWxlTbL9MQnF1bhbu6d6yJMgxaa3XY7OfhGQaA50WZmighGjHGA2/j8PpVDCSLskJbNBFisr2FNGk9/Cjrnovb6lDdTggoyxDM9ewA3fEcKen66yytIew8uMj+6urg943LZ6hHD+KcXaUU7GGbcmrwOpbWSC62NOZFhboo801zum2oktaAqDOEpOKaNHt2cAJBY6mE09ufJrnmRQXpLrLsHVA1rnCg27yuNunWCwilMZcWEbVhnaOld2LufGtYsLSoFyy0lx2mM6XANiUWNhVRwNUWaIu1Rx6m9doNGrEDWg9csJZFfVDn0Cxj6MkAtHLrGCmi6wFrgZfDhFBrLxZxm15iFRopLNPElkwEstdkQhS1hSTuEVNSCoximdhP+mjdXGY/XMdzFvBYwC8VOCpdotK5hSq40FuAqqTF4ZM/jLtxm8Lt15EZ6jZT2ARjdp7a7M2Rb7vM4oM/yK1rX02SdWWgb1+6d3mBObtOoJuYjOYn9K067hh5UsRl1zEJC9ZgvHr2PCB5uLiErSy2m0HS4kISGw7N6jKVxmiOnoREDWgtlHDlpL1YYy2xdG27K3TcKvL6HUKrTGiWM4ks3cv21K26HC6d5eyN65n33UfBknRTZGV7tULlcKj8iKWFOcOyT0uBYYgJm8CitPBrNfRRg52HlibOi1yLwsIjdPZfTYi69DWFpGvNUwizCey9Swsoy0CfP0/ZeyeV3SOEkJimSdlweLu7xt6VGsGzr9JM9Y2Kk4ylvWi0z/YJaq9SpGpd4FJ5ieutawDIMERbk6opbQi6pcII8SC0RkvJ7oOLnPl28k5ekXVeV5scnamyvNvigWKNVlPi9MLvsWHTdZawOxZoj+2Hl4htk7oocVB5mPLhOke0e21tUCw+Ad7fcHBhjvmb+9SKFoJ5WvEUsl/0/5nsXJ5VxzANnOAgUVNqNXivrFgVLGHSXCoPjrd7zynr2fgLZR4/d5aXog2M5TKRhiCMeWTLYLPT5mhsjNZEcUB0pRWE3ZqLfSBwwun2ulIIbEMSxTGRUSIyCvhWhfZS0qbKNDg4X2fu9pCQ0oaFiMPefZi8fe48O4C2LUSQbC8XHsMIXueSXeJ6sIthmoO+b0gJArYvnmWhPbxu6JhY/iiB2LyyQHkzeaekFwZ0nGUe1odoDX511ArVNiX/fvkhbm+HvMd8iFjHGMIg1jGx4dJSBnIlxqu5LL22i0SyIusjqsDWYony7lBpH7oWlhdSFyU8Alp6dg61cSItMorYlpy6wON7BTnRlSNHju9LCCEQi4s4i4s473mKhd72PgEW3b5JfOsm0a0bdK6/SnjzJvbOHnKK0W0hgMubcHkzrQJLsFuB9QXBxrzg7kLAq/M7/NP8LnvVF1E7/+/guJKGZeGwZFZZdBZYLKxQK61RK1+gWlyl7sxRs+eoWTVsY/aqpxw5cuTIkSPH9z62trb4zd/8TdrtNrVajSAIsO3hN8Dv/d7vcfPmTaSUfOxjH+Oxxx7j6tWr/Mmf/Amf+tSneOqpp1hZWXkT7yDHOILW5MpgwywAB3TtxZnKnDn7HEJYRO95H+3n/4XSdjMJyBsmddvBkTatcKhA0rYFUuBdmKN4d30ybbyAzkPnKb56m9Wqy81LCbGwf3aF+btbmLaFPHeBRnOORb40OE1Jk661QGwkgR3HlBAkOSoUkoa/N1h9roqXOfvkI2h3E9Fus9NMAo6BXabYk0AEZhk3bIysVBZS8La5Rfau7xICfuUCQm0SzhWIizZx2cFoJUGzorRpigjQ7D6wwtzdHcyay7mwzJ3gANsQnC2soh8usB/FGLaJJScXtvlrS9SCLXZbPgiolGtI4TFXsFBaY0pJQ2mO1mosv7qDTbL6/ZG5OV7wRi2CbENix+ABjizRrYBvldmp/wBnq3s4soz2XkYLweGFObzDLnN3hn1DCEFcL2M1W6zKOTbVAd5aFW6OKsC2L51n6UYSYF2VdTbV8Bp7b1vlR889zubOt9DG20C3QGvqC+dgd4fVaI71QhfKJZ5sOxx2on7hONU51lYewtg9pHXxDPrgDirW0N2hsVLBbgcEzgrGD76TuFqic7dBZ65K6bCJ8iRSCNbMhGhxpByxfASIDBcj9qim5jOJRKM5OFdjf/7KyH2WnSUqZ9bQ8/OwvsfZapGGHwzUdX20nRViw0FoTaV7e+QaXXsRw14lNIoYeoM4TAKE80UbWXLZ3RkGWusFi6P3vI2VtkJ/eZhP62L5AdbP1AnNI5rF85whafuzcgEHC2P+HO09iRSSecqYxhqvxOt0FkvUV+qY/vD5adNBFZcwRS+oXVzENOD8QoWr7TXCYFgugJ4rcWnlPPqFvaQN44SmNJfqVMqPocJbRJt7LGz6rDgL+NIEP0wUIAJ0L2FUrZCEAf2VMmYwGhJccUuEnoFHwHq5gF92MLSmMLeKNl2U38T0thNlRQqdBx7EPLQwZDImimtLrJy/xNY3bgFQkFUWLIkQEkeW+OZyMl4MWURfnkO/foe1osGzFz+YbG8Nn8WCcwa3cMjdwy4lI1HETRJgCveHfpSHlh8dEL9yLN9QPwCte+cqy6AuSuzpJgVTooDmchl3L0ZJE2U4kFKbrso614pJG+5fmGP+1gEF1+Zc6RzV6Db96SuxUUuOO1xZnCC6DtaWEYUW2rWomQa2qehqCyP2kRKWKw6bRz6+VR85z5AmcUpltnPxLJFtIV4JKQY7HKwtsTd/mbM3riPFNMO5JLchoRrkEWtaBmd6+yJp03VWsLrrWEYybqUUuJak08tfaJcdSraJHwWgE0LdlRYXn3ySlw4DNuNhHdO2jADR236Emy2DB74+mQYntMoow6bkTeZWe6BwjsB08BY+iOzGyL2vA+BYFtouY5UEDyyd50jcGSG6IHkv7TFKdO1dmkdLwebSgzzmXOaBygJ7/i6NcFTFlSYVlCGJHTNR+fZI9vm4QP/p9kkGAOuJs9RKFsUgQkSCmung987p59KqigLXVwVxbwFHsfoeQqNISTgDm2CNZNm5xC1nEdhl69EVzItvx9h6B6WXv0g7TuaTs/UCTS8a5C8DUIRo1IDY1UISmmWUbRHaVaIwZkWUeUchGYvm0hxiqUZ08DrogLX/n707D4+juBP//+5zbs3ovi3Jx+ATY4yNDcYmB2CCyS+BZQkJhBtCWMh3eUgC4U6AEBIIycKTZQkQCGzIsouzIVkgEMA2YIfbNjbGxocsyZKswyPNfXTX74+RxpIl+RC2LKN6PY/sUVdXT48+Nd3VXV1VaiFKT13CpefjUbv6z2GpKJTUjmN1ONL7xyJRFcBRVUPhGx9TqOTRIcLERJJyNR8FBadikBQpdFXB0DRiWrYxye7TNOF16ITSGoqazs1/Zmgqhpb9VoW1bENwSvcTy9dRRHZI1uQec54KZwFKtJVJjhKcqoGjqJQ8j4stsTKMT7PnBlX3MrH8BLx2IxNCsNHpRevaln1PRSXgNLCN/seRUHWA8ZujhPsMC3h06VEorQ3ZITz7NALbZhH5Wi129BP6D8AMk53l5BsuGnrqQVrPcUlBRVMEIXctbrseQ4sRMwUnOz10RFP9zqOuPCf0aegKVfkp+rQdDRVlfC1sXp1LM7z5pDBRIq1EC9xkHDqxAne/hq4CrxOnaWBqJs4Z0xk4WPWR4Yhv6Kqvr+fhhx9m5cqVtLW14fF4mDVrFhdddBHz5s07bNuSJOnI1NsAZhYVwazZAPROGSpSKaymRqzt9VjbtxHZspXUtnrUHdsxY0OfBorCUBQWHL0N+jaCWQp05MHOgMJOP7T5FXYG4uz0J9gU2EnI+zGiffCnKdyKTkBz49fzCDjy8TgCeByFuA0fHt2DW/fgNty5173/uzQXDs2JU3Oiq0f8KUCSJEmSPteeeuopotEop556Kvfee2+/Rq5QKMSf//xnFEXhuuuu47LLLsulzZgxg+uvv57/+Z//4bvf/e7h2HVpCMWFNTTt6H8Du3LuXLatfh5LcxBzFKNbCcxMtheP3ae3jqYYpPMLKS3wUTh5HInuTzA0FYezkAotjZ1JEPIGSKRi2IkMvinjyNe62WVFsVxu+o5iVJ3vIlZXSaqkAMvtQugqxU4HZjzDdkVB5HvxVgY4Kj/AR/EUXZ46/LE0O9U0SSNAocckFE+jawo+lwOn7aJMzyOORdvEIjIOHXOnm/Gl85h27AlMseKw6WXejTWzQbTT5Z2AX/kERQjSup+iPr1Eyv0O1DwPRZrK0fP/ic3vP0+eQ8NOeXFNquRY1ziidoo1bMeh7qLayKc7lSKmWLRUTsdd/ClFeUXkr+vCHQiiG7sQJRWsiRViGTaRlJey+KZ+MRAOP4lqBw5FwZe2cTW14TQUSCmoipKbx0RFYDl01J64lOSZqIpCtZlPS2oXtgmqJdCOHkfhR8ncoGwl7qPYzg4cqgvqxqNv34xAZ1dV9nG7jN9NXlOK7p6btJbPSVllAdb2CG4cOJxurHEBMj0NXb037SOF+Xg7whwnyjA1nY5YhDQZUm6TSmcxDtWgqKSYGruCbV0tGG4/BaqP1AQnxXaaaVWFqIZG8t0NRJIWGUtgu52gKFjlxVjlxXTkz8ZZ8RHWxnq6hUGkGDLlbvLHzcDqmXPN29MrsK2mnLxtYfw+Da18CmLbBjyqg3y3SXc8TcYWdLvHZcuzleRkr4vWTBjDkURNm+y0Q+zy15E0dw/x59LyOLl2OpU+L7aWj+0uJpjaxcc0o7l0EmmLlObBn19Ed0zgUD349RJIdpKws9doblMjPnUBVsIk482DdAVsXI7T0PA6NaYvvpQ3QisRqQxGZzdpnwthGpSXH8f2N18Asj0ShMNknDPApEA1wZJT0Oq7iLdlb467TJW8PB8tsSoiRcdS2L0ef0rB7dDQ82vQRP8hqACUwARqxgWpj6wETaPaU4NDVXB4ptFNEpxRXN0JJuUXUjvtOAzD4JOQhtaUvb1eflRl9m/pcnCscwIdjkICShjNBqrL6H73E7ZSgWK3IBQVv0tH75krLF06kXigGO+aKFp3B26ycy+V+R00xjVijmJic2ZSsnkrXtVNNBNBmF58jk66ExmsPj16WupOwrt2DcXU4I53UuqtpLjAi3/xAt5cK9A7duLUfLmeeJWB4wg5kvicM1HbV5KeVIOntoJYohaAVFEp5q5sj6pJ+WXoRoBCw6IjnL0ZrCsODKOQdDrb6FdYNIlxVXOz32UhsE0TxfQC2V4oKZdBgarQEctQopcTGuejUPURULIjqvhdBmHbwdYJEyjN7MBMJEg78jHTu3vIpnUP5aqTZruTZJ6TtglFLGQKflPDnASpTQ0UeAxak4ICvYJ6XzfhwgAFu8bh7IxgYrDNbiXtcKOZCSrzHKgKePIKaEwVoae6qVF3YmoqVfkunP48Qgmb9poKiup34FR9uYYNgFjAh1BVth0zAyEUyvKdlCsKRV4TAXSEkzg0FZep0Z1Ik7FEdm6tQC2p9haMTIJkTRlmoY7dHUeJQUbzIBQF1ROkPN1C1IhSFXAiTC+FyQgoPU14ukrAqZOyBJPdJeQXFuHw+nGEunAoBnFFoLr8BDwOdu3Mnu/Gq6WEVROhqlh6dv4yBRVRWkequwmP6iMdbSPiLMetuLFUE7e1nXQaYqVLsj2bFQWhhnPHQK9TRz3pAhQnpNMxxhVvpbW1izQZ8t0GFYafgOZmE/0fEEg7TUJ5EyhxHYWpq2iKxpzi4/n7jt0PIaMoqH06o/YOj+d16HT29BArUHb3fuqqyMPfFsPyFUJeHM1VRNfcKgo6BVWWoPHTFpRInIqycjTFxIianDJhGh0kCYcFO13jiasOShUfrUoXlrAoMrLfb9s9kaii43M7qSyZRcpXQehTP1FrFy5D33PaPgAskUFXnCTMQuJaHk7bg0/PJ0ZHbh3DWYHtiaBGWzHGlaLoGl8Uk9jRHcNQdGxnBA3wmOV4TFC664n09GZSXNleb/PdE1gZ24ztKSWQ6ManmnROn4QSTxAIdVPYsbvx0K+46RJRFCU7T2BmRjlWOIml9Qz9qfQ8OOMopaEqQG1TCL9TxR/vpNtK4HC5KXd7iKYyKAU+2ourCMfTuJOteGLZBlInJprDAs3ApRq4vT5Unxst34cH8BV4iTtNlEQK4fHhPeUrKE4n9luvQdO7CNOLkopgKBrR2uwDF3FnEa5E9njkzvNiTasmuW09WjJDYkIhHlPHERxH8bowGaOLRNpGACU+F5mwe9B5tQq1bNnxOLR+DYgeh8ZUVx4xl5MmO3uuVEuacCXCqHGFVFEBSjROZ2EBRQFXrkE7Y2rYThPvlGNoKFiEcBgUb9lGTCSJk8LrzH6Pk8l2mnt6jQJ0l/nIa8l+p3xOFwFHAKfmxKgeB6H9n090NDmi73K+9957XHbZZcRiMebMmcPChQtpbW3ljTfe4LXXXuOWW27h/PPPH/FtSZL0+aSYJnrdePS68QD0jrIshECEQlgN9Vj120hs20Z0y1bshu042ppRh+j6r4ndQyH2bKlfekaFkBd2eSDkVQh5IeSBkEch4koRcaaIOLvY7Gwg6oSYc/CJOIeiKRqm6sDZ0/Dl0By5RjCH5sShOnBojtzvzp707HInTt2JU3X2yePAqbn6vHZiao7c0ymSJEmSJB2YlStX4nK5+OlPf4rT2X/Yk2XLlpFOp3G5XAOuU5YsWcL999/PypUrZUPXKFM95Xi6P/mIZKoTy+2CmUdTVVmD2lGF2hXC7/ETrpxEpx3Bv7WeHSU17CqvYFzExNbGQWkZ4/Jd+OLTaD/WjXdHGO3oM1HLKrAa6kmaTZi73qNczafKk0+e5eIfsS3E5h8PK9aRpxdRUlTJxDNOIWEleL/jXSyvC1N1UOOtJeqO4HM0oarZR73K8pyka4pR2mopUio5yrbYGW/FJoPfGSMj0hRMnkNFUxfEO8mzd7GoOEhz0qZ91heoqy1G0TQ0zYs46nRiNGNkQojUZlonjqNsUz0uZwmJGWfiDa0ioIGnqhhF17DzJzKueBpJvYP2lk1oldOZb2d7Ynk1ByfkBbFmlJHcuJ2jSoN8OOtETnJWc4xrHs7uraQXFmKqRWh5TlSRoCIToHlHO52qm/HFNRyT3oGOyjLDQpjZG96J2nIUoHbaAkLL/0ZC330DKk9z0T13PinFpvzoUsb1zOfjmFxDkbBJugySHZ9S5jA5IT9IeHyS8ogT0+dh5uw5vPJpKxo6ilfBV+TDEZ5Ik7IGR6qTEudR7Dq2lOj6vxKodBGfO4XxgQWQ/DvWjh0UHfP/8X7yTdwVPmiP4dBVNk+qyQ5HWDOJktYm7EiIooSPNiNBfEIVJWUnYvkdaAvnUL16HYpmUl87lXxzK+Vad795tBxH1VC0fitdSYExcxolPsEnOyNEjEIm1o7H66rg3cAbbOtIZO90KwpVjt3zuZTlOWjpVlFLAtiTFlFcfiKKbWDvbEOJdTDVUUbMTNPpq2ZtRytCCCpnzUM0NlKWUCjWBB1CJerykSwqY3qJj45YCtKFLKqeRXmfYZ/SVSdS4q/l001PQ1WAgu1d2HmVoCqMc0Jt3QI+tAvQxUzKG18l1tpA7dRppI+dx5qmbMxMq5BUOka+J8HU2afgcPo4wVxAa7yVVH6KeCbGOG8N+Y4Ckl/5Ds6//wU9miBTUcyUYg+ZoulU+t1w+vlk/vIoaUugewqxNY3aGUex1pFHonIBU6v9FKQ7WNP5AXasHS2VvaEoenpDlrsryK8oQjRmG658hi87lGdBIdrEc2jRmpgb3c74wiI0o6cH4fRxbA8U4FNS5BfsvtGuVc6jcsfbMKkAoeqkar+Ey7GJ1NufUGaW0FnkYULLP0iku4liEcovwfK56Z4zG+/H9RRSSkbRMbq3UXT8DEo1E8MRpWv+DGaVf4m3Pvgv1ESKykaF6lgXOyIx3PlVWPPOpsxdxM7q8bgbNiOKZ1I+Lhsv1V/FhEWVNHclKIh3Udr0KWuVPFRfEQU9+91QfDJ1eQrWuGpKGrvYGU5CYRFl7qn4m+tx5QdQy8oprq3Dv7WBtn+8SziZwe2ZSY3ehtOh4l18ae7voCgKgdkLaNuymp2FeZR78khRj7KxjZLiKo4qn4m7PMr6lmzD42RvCTEljM/jwcx42DF1PDM2bsatKkSNWlyKRXFeCYUzT6cm8g4vtMeIWAlE6QxKpp2KikBreR2tPYR3V5iMp4Bddj7uScfj1lRclWDGt6MmkhSoPjb4ivAXlHGioWArCqmqBZzoKGRFyzLMhBsRbUV4Ssn3OMl3Q9RbSafupjSUjx3aQNwKY2saZflu0hmVaDqJz6FT0jPnm1lTR1VrGDuTLVOVgaNoTnTQ4bQQ48ajN3VhOwvwugzUQB4ZdxeRKaUQSRFrMDGSCg6zkrzCSiZWJTEKKtheMhlrywu0ZroRgDmpmvTH9QR0HZ/mwDG5Jntcdui48y4gJdqZXR1gZ/hTutp3UEQAn6OSMHBG7Rf4WAFr7VZcvnEowZMxRIpCj4euSAKtvQnNcBNQLGaaSRKVNazs0xF6fG0p/nAxrnQCo7ISNb8AAQhXAc6vX8kJf3+ESKwbn+JEESCCJzDj7ZdYG802uCXz3aQKT6TQLCWglzGldPd3yGfkkSrKx9URpqx4Nu7QNsah8rfCfEJ+L18q8BKwG4hvasCpliG8GhM1L59azaTdJq7xlZQEyrC1NhryqkDVKZ5wIoawmTjuHdItIVJdDipVHa1iPh5/nCI8dOgpdujZOhhUjwAAIABJREFUc1DaO5HTNS9bIjbtnqPxOHXK7ek0qgq1FfnU5U3A8qh8MH4q2sZ68noa4Nw9DZq5v1OggoDDzyZrB+tqxjHePBozbpEOxOmI1+NRyplSWIkSasZpb0bRs/dsyvLz8Hu9iEySzbYgWViKrvo56stfYXvryzRt/JCE22S+tzB3Lj5pyhV0KzYFO95Ft1IEfA5ipkbKNFAyNlgW6BqZmI6ieEnVFZKodaFFmqgeN5u1zhg1H2WodCaw3H7M447h2PxKkso7uMIZSgNTyU+FSOpOOlO70LUYkfEV1PrdbGgNE1PK8CRa8Stuajx+Qg4F3VtJ3YIzcMT6D+VZ7PexbdI4kkmDinmnofTUrT3TZ5FJbkHke8lr3Ul5QZAdEz1Mdzr4aEclac2DJ9HCnEAFRYaXZXkViIIJFGkaPsuBPW0OflWn9YMV5HtMuibUsGjcdKJdTuIbNmPYOmmRIeosxeuegrcwH1LbKfE52OAZR76RpkZpxdBUMsXz2RrbTDyVoSuZYdJJJ2BGEhSFm2kIJWjNP5ZqbQup1EekqwMEIiYl42oIVpXS6Z9BE6Vs64yhT5xG6eYtaIZN3FNGxIphFBUwUS8lZdtst9uIFnrwtYYZXzCVyvyp2b/Fl77EkUwRYohxuEa5eDzOGWecQVNTEz/72c/42te+lkt7//33ufDCCxFCsHTpUiZNmjRi2wJoa9v7RHqSJI0dIpPB2tHU0wusnuTWrSS3bUM0N2F0DT759GeR1CGtQ6rnJ93vf4W0DrYCQulpVlOyv0OfZX1ei551+32m3vV7F/T5fbB1VVRUVUdTNYShg66jGAYYBqphougmqsOBaphohgPNdGKYbgyHG8Ptw/TkYXoCOD1+XJ58nL4C3C45fKMkSZL02RQX+/a90mF2/PHHM2fOHB588MEBaTfeeCNLly5l0aJFPPzwwwPSr776aj788EPefPPNkdjVI8JouE4LBLKPSm1u3k7CTlDmKkNTdSLpCI1NH6FaFnkV41FRsYRFPJOgzF2JW3dg98xnpCgKSrIbrWsblrcc4d49H0rGzhBNdFAYaUVJhbF8lVjeSnZluom1htC705RMqkN1DD1HUUeinY5kB+XucnxGHpCt09qhXSiqiuJ0objdiEwGRe+ZIyPcjejqQi0pQbXjpFUXtmpg7jE/kxCCXfE0ioCM2oUqFITlxes0cFndaKGt2N4ybE9Zv7mnYpkoLs2NYqdR0jGEs/+wXvurO5HtVVTQZ0L4lJUiYSVwak5imSh+M5AdOnBnK5nWFsKeNErnJgL+CagTjsvWb+00IpkAFPRUO7aZh3AXgRBoXVvBSpHx1SC6oyh+P4phYNnZzx5wGeiqQns0xZaOToSSYVpJGSnLpj3ajSvQTaG7AHe6/2e0U1HibRvQO2I0G0lExQTCCY1afyl5BqiRFnZ1R9iVtFD8NVQX5eV6ool0GhQlFy/sDCgaSmIXWrgBy1eFHYuBw4fiDaBGWyC+i5R3HLozewPWsjO837qZjW3dzK+uQTfiaIpGkbMYTdHQVZ1YJoqu6Jg9DTkik0Z8/C520sZKWGBbiEmTifk9FLjzsFpaoLMJrbgATbdI59XQEG8ilonhN/2UusoGf2hOCJTQZtrD22hKZ3C6y6gNTERPZlD8fpIZm/ZoipRlU+J14O2Zq6c9kmRXPI1D1/A7dfwuY+C2ByEsi2Q8jCeyBZwBLH/t7vIpBHbjFuyUQPH6UEtKAPrNc5KyUkQyYdbW/x+VqoPq6tOwNRNXz9xS9q5d2O1tKD4fanEJKaHQHk1S6DZxGhpqdyNqrBWrIIi/MB80k1BHCL31Q7RoK6nK+Qh3EWq0FSXRie2tRDiy392uzhBNCYVSv4t8O4bYvBbKxqOVVZKykihKdk48AGHbKD3dWIQQRDMRPLoXRVEQQpCw4jgVB2JXO6pLA9MDhouMZdPYlSCWzDC+yIM71Y5AyR6bBnkQszWcJBRLU5rnwOfQ0Xrmy8tYNm3RFPkuA6cxMO5CCKzGBlrausDhpKzIh1ZSOuicMl2pLhShkbFMfHTR3bIVb8KFUVmNZlqo8Q6E4UHr2kbYirMtrxxV1ahwVdOdCeHRvTg0B6HkLgqdRbm/kd3dTEsyTklBbXYYQAArjda6BituIcqn0JTS2dwepcjrwGsolKea0JubiOXX0lqgk+/0UOAo7Le/oeQudsSaKHAUErdiRDMx8gwfPiMPxfawuT2OIxyi0rDRa4rQVQOX7iJhJVBR2ZloJZaJMrNoPOrWdWzNRLEUN0VpL1ZxISEjRaGziIQVzw49aTnw6RbtqTb0aAt+TzWbUknUuE5ZfikBzx7nCCuN3rkB2/RheyuJNWzDiKcxyvPB4wchiNgmTV1JCjwGxV4HtrBpb91AJpIgk1eD6fRQ6nNgC6jfFaM9ksISgiq/i+p8F7YQbN8VR1MUKvzOXLnoiqf5qDlMVcBJTYEbYduIaBTVN0g9zs6gdW5ETewiUzQV4czHjkTo+vQDOjwxiqqPAzuPjlgKQ1OpDjhz5SeeidPW1UD+jm6ciol+1BTQdWxs4pkYXiP7fpGGRprbIyieDAHTIllUhm6FKY6FMVx+4t5yGmM78BpeSly7h48WloXd1IhIp9GqqlGtMEo6gp03DhQVWwiEAM1KEMkopIRKgdukK57GoasDvhPhjmZ2fvoeDlujfPwsune0sLFrB3pFMVMLazC6wtglRezCoCNi4TE1xlf4sQWkYsncww5KvAM1thPbV40wexr+0nE6O1potfMoC/jId5vYdoadTatIWF6qyibhiDUhDA+2r7Lnb2+BlYKeOc5ioRba23bi93nwFteyK5JES4Vp1zsxdCfjvDWoiko8laI91YrH8GAJC4Sg0FmEEk9gNTbQM4YmiseDohukdYVup017YidFjmJcqh/N6sLTtJbUJw1w1Fz0SVN7ym0KvX1dtjwUTsb2ViASXViGb/f3t0d3qpv2RBvl7nJcuptwupu0nSZg5tPU3UGR24832ogW2kosMJ5dDg/5joLcSElCCJIfv0kk0Ylv6iIczmzPqXAsiaok2ZHYhbDclHoC2XOPlcqO7alnG9u0zo2g6lj+WiwEG7s2kLEzTA5MzR5/MnFszUkqY+NUbSJtH2KYPhwFk7N/ezsNuhMhBG2RFLuiKczudsp9LvR0EhGNQm0Fjmgz3fEUUYcLb6AcEU/iiiRQvF6UPD/5+dlzfugw9+ga7nXaEdvQ9dxzz3HjjTeyYMECHn300QHpd911F08++STnnHMOd95554htC0bHBZQkSaOfSCawmpuxW5qxmndg7WgitWMH6aYmaG1Gi8hjyVBsBRIGJE2FlKGSNjVSpk7aYWA5DDJOB7bTge10gdON4nKjuL1obh+624fpCeDwBnD68nF5CnDnFaK7XOiaiqYq6KqCpiqoCkf8ZJySJEnS4I6Ehq7p06fzjW98g5tvvnlA2imnnEJjYyP/+q//yhVXXDEg/bbbbuO5555j7dq1I7GrR4TRcJ3W29B1uG8gSKOXLCPS3sjyIe2NLB/S3sjyIe3LaCkjw71OO2KHLvzb37Jjpy5evHjQ9NNOO40nn3ySl19+eZ+NUwdzW5IkSftLcTjRa+ugtm7QdBGPY3d2YHd0YHe097xux+7sRIS7yXRnf0Q4DJEwWnzsVFZUAe4UuFMCsHp+UvvItXdpIGxCwlRIGApxUyVhKCQMlbipkTBUEqZGwtBIGjpJQyOjaViaSkbTsxPUajqWpmPrGpauYas6lm4gNB2h66DoqKqKouooqoaqaqiq0fNaR1UNNFVF1XQ01UDTDFRNR1c1DM1AV3X0nidmTU3P/q5qGKqOoWmYqoGh6RiKhqnrmJqBoWgYmo6padl1NBVT1TB0tWdi193zTkiSJEmji6ZpZDKZActbW1tpaGhAURSOO+64QfPKBzUkSZIkSZIkSRorjtiGrvXr1wMwderUQdOnTZsGZCdpbmxspKqqakS2JUmSdLAoLhdaZRVa5f4dc4RlQTo7jIpIpSCZRKRSiGQSUklEz+/YVnacQdsGK4WSjiDiYTKJMHYqip2KY6cTkIpDOgGZBIqVQLGSqJkEqp1Et5JoIoVuJTFIg1AY0D24Z0FaUUgDaRRSQiFjK2RslUzPa8sGWyjYloJtK1hCQVgKwgYlraBlQMso6CkwMgpmGgxrzzf77FT6Np4JYPC51Q4nG0DpP0xk32Eo91wO/dMsBeJAbLD19tiOpSlYKtkfTcFSwNLAVpXcMlsFS1WwVQW7Z/3e17aqYGkKoud3oaq534WmIDQVoaqg9rzWVOj9X9VAU0DXsutoGmgqiqaDpoKmg6ahaDqKpqEoKoqqoagampp9jaKhKhqK1tOwqCigZtdVVT27XMm+l6rqCHX374qS/VEVDQTZ7dOTjpLdhqJm01CyaX1eQU8ekR26M/tnVXv+7VlTyf7RFUVBEWp2CJ6e171pvRQUECIXHKUnrgq7g6b0dNB3aR40RUdBZJOEQOQmCxe4DI1Sr9mncNC7Zs979P0f+q84xP+51fa+ntjXeuzxvsNMz31e0fNdHvT99mN5388tRJ+37zk22H33R+TW1yoq0Uqzw5T0PzL2eS32tXyIARf2mW/o5YPuy5D5GGL5EOvv6zP0zafq2L6qQYcykgYqLCxkx44dA5YvX74cAKfTydFHHz1o3paWFvx+/6BpkiRJkiRJkiRJnydHZENXKpWitbUVgPLy8kHXcblcBAIBQqEQ9fX1QzZOHcxtSZIkHU6KpmVv/u8xWf3+Gnqmhr1L21a2MSwTR8n9n/0hk8CRieNIx7BSMTLJOFYqhp2KYafjiJ4fJR0DK4maiaNZieyPnUSzU+h2Ct1OoosUusj22rJtiFsqUUslbmvELJW4rZLKqCQtlXRGIZNRsdIqdkZBZBRIKygZBS3Vp+EsreBIgTMN5sAH5kcdFfrc5D/U7zbUDW3pSNd5uHfg804RVC3oxFeZPNx7Mmqly2YTOmtpv/l3pMEFg0H+8Y9/EAqFCAR2z9fz7LPPoigKCxcuRNcHXtIlEgnee+89Jk+ePJK7K0mSJEmSJEmSdFgckQ1dkUgk99rj8Qy5ntvtJhQKEY1GR2RbkiRJY5KanYhYmJ59Noco7P+Jx+75SfddKGywkiiZJIqVQMsk8VlJ8jKJfsuzvdCSKHssVzLJnt+z6b2vLStOLBUnmYhjJ5JYiRSZZBo7mcZKWdjJDCJNttEsrWBnFMgoCDvb80xYSnbiMJvs/xYoPb8rPa8Viz6NVAqKoF+jldLzWul9LXa/VpA9HyTpiCEUErsM2dC1F0bLe6jRFmxvxeHelVFv8eLFvP7661xzzTVcd911FBUV8cQTT7BmzRoUReG8884bNN+9995LJBLhhBNOGOE9liRJkiRJkiRJGnlHZENXMrn7xoFhGEOuZ5rZoXni8fiIbKvXkTCxtSRJktSf+3DvgCRJ0hhSeLh34Ahx5pln8vTTT/POO+/wzW9+s1/aKaecwrx58/ot27hxI/fffz/Lli3D5XLxz//8zyO5u6PeaLpOG037Io1OsoxIeyPLh7Q3snxIeyPLh7QvR2oZOSLHC3H2GZYrnU4PuV4qlR3iyuVyjci2JEmSJEmSJEmSDhZN0/jtb3/LGWecgaZpCCFwOp2cf/75/OxnPxuw/qeffsrrr7+OqqrcddddFBbKJkVJkiRJkiRJkj7/jsgeXX2HGIxGozgcg88s0zssoc83dCvkwdyWJEmSJEmSJEnSweT3+7nvvvu455576O7u3mvj1YwZMzj55JO56qqrmDlz5gjupSRJkiRJkiRJ0uFzRPboMk2TyspKAJqamgZdJxwO093dDUBdXd2IbEuSJEmSJEmSJOlQMAxjnz20qqur+fd//3fZyCVJkiRJkiRJ0phyRDZ0AUyfPh2ANWvWDJr+4YcfAlBcXExZWdmIbUuSJEmSJEmSJEmSJEmSJEmSJEkaGUdsQ9fixYsBeOGFFwZN/8tf/gLAGWecMaLbkiRJkiRJkiRJkiRJkiRJkiRJkkbGEdvQdcopp1BXV8c777zDH//4x35py5Yt489//jNut5uLL744t/zll19m8eLFXH755Z95W5IkSZIkSZIkSZIkSZIkSZIkSdLhpQghxOHeieFav349F198MaFQiDlz5jBx4kQaGxt56623UBSF++67L9dbC+C5557jxhtvpK6ujhdffPEzbUuSJEmSJEmSJEmSJEmSJEmSJEk6vI7ohi6AlpYWfvOb37BixQp27txJXl4ec+bM4Tvf+Q5Tpkzpt+7eGrr6buuVV16hvb19n+99++23c9555x3Q/i5btownn3ySjz76iGQySVlZGaeeeioXXXQRBQUF+/yMbW1tBAIBZs2axYUXXsjs2bMP6P2l3f7xj3/w7W9/e5/rjUScW1tbeeyxx1i2bBk7duxAURQqKytZtGgRF198MSUlJQf0/lLWwY7xBRdcwNtvv71f7/33v/+dqqqq3O/JZJKnnnqKv/71r2zduhUhBHV1dSxZsoTzzz8fh8OxX9uVBhpNcY7H4/z+97/nxRdfZOvWraTTaUpLS5k3bx6XXnop48eP36/tSgONpjjvKRqNcuaZZ9LU1MTXv/517rnnnv3arjTQaIuzrIMdGqMpzrIOJo2k+vp6Hn74YVauXElbWxsej4dZs2Zx0UUXMW/evMO9e9IwCCH4/e9/zy9+8QuSySRPPvkkxx9//KDrDvd6YOXKlTzxxBOsXr2acDhMUVERJ5xwAldeeSU1NTWD5tm5cyePPPIIy5Yto7m5GafTydSpUznvvPPkA7wjYPPmzTz66KOsWrWKnTt3YpomdXV1LF68mG9/+9sDYi3LxtizfPlynnnmGVavXk0oFMLtdjNx4kSWLFnCueeei67r/dYPh8M8+uijvPLKKzQ0NKBpGsFgkLPPPpuzzjoLTdMGfZ8XX3yRZ555hvXr1xOLxSgvL2fRokVceeWVFBcXD5pHnqtGn9dee43vfOc7AIOeZ+QxZGz4LNdQY6WMHPENXYdCb8EpLS3ltNNOG3K9008/nWOPPXa/t/vrX/+ahx56CLfbzaJFi3C73bz11ls0NzdTWVnJs88+S2FhYb8869at46KLLqK7u5vZs2czceJENm/ezLvvvouqqvz85z9nyZIlw/6sY9loifOGDRu48MILCYVC1NbWMnfuXADefvtttm3bRiAQ4He/+92Ahltp3w52jJ966inq6+uHTE+n0zzzzDMYhsGKFSsIBAIAxGIxLr30Ut5//33Ky8uZP38+QO7G6XHHHcejjz6K0+k8wE8oweiJc3t7OxdeeCGffvopgUCA+fPn43K5eP/999m2bRtOp5OHH35YXhwM02iJ82Buu+02nnnmGQDZ0PUZjaY4yzrYoTNa4izrYNJIeu+997jsssuIxWLMmTOHCRMm0NrayhtvvEE6neaWW27h/PPPP9y7KR2A9vZ2brzxRpYvX55bNlRD13CvB5544gnuvvtuTNPkpJNOori4mE8++YQPPvgAj8fDo48+yqxZs/rl2bJlC9/+9rdpa2tj2rRpTJ8+nVAoxPLly4nH41xyySX88Ic/PAR/EQngpZde4vrrryeVSjF58mSmT59OV1cXb775JrFYjOnTp/Pkk0/i8XgAWTbGorvvvpsnnngCVVWZP38+VVVVNDc3s3LlStLpNPPmzeORRx7BNE0ge6y54IIL2LJlC3V1dcyZM4dYLMaKFSvo6upi8eLFPPDAAyiKMuj7eDweFi5cSF5eHh988AEbN26kuLiYp556itra2n555Llq9Onu7uaMM85g586dwMDzjDyGjB3DvYYaU2VESAOsWrVKBINBcf755x+0bb766qsiGAyKL33pS6KxsTG3PJFIiPPPP18Eg0Fx00039csTj8fFokWLRDAYFEuXLu2X9vTTT4tgMCiOO+44EYlEDtp+jiWjJc5LliwRwWBQfP/73xepVCq3PJ1OixtuuEEEg0Hx1a9+9aDt41hyKGK8N7/5zW9EMBgU999/f7/lP/vZz0QwGBSXX365SCQSueXhcFice+65IhgMivvuu29E9vHzaLTE+aqrrhLBYFCcd955oru7O7c8nU6LH/7whyIYDIovfOELwrKsEdnPz5vREuc9rVy5Uhx11FHi+OOPF8FgUPzwhz8ckf37vBotcZZ1sENrtMRZ1sGkkRKLxcQXvvCFQY8p7733npg+fbqYNm2a2Lhx42HaQ+lAvfnmm2L+/PkiGAyKH//4x2LBggUiGAyKVatWDbr+cK4HPv74YzFlyhQxe/ZssWHDhn5pjz32WO66s+/2bNsW55xzjggGg+LBBx/sl2fLli1i7ty5IhgMihUrVnzWP4E0iJaWFnHMMceIYDAoHn300X5pTU1N4sQTTxTBYFA88MADueWybIwtL7/8sggGg2LWrFlizZo1/dI+/vjjXPl5/PHHc8uvvfZaEQwGxc033ywymUxueVtbmzjllFNEMBgUzzzzTL9tvf766yIYDIqTTz5ZNDc355bbti1+8pOfiGAwKM4991xh23YuTZ6rRqcf/OAHIhgM5q439zzPyGPI2DHca6ixVEbUQ9eEJvV1//33A/CTn/yEysrK3HKHw8FNN93EtddeO6D73h/+8Aeam5v56le/yte+9rV+aeeddx5XX301N954I5ZlHfoPIO2XA43zli1b2LhxIwDXXXcdhmHk0nRd59prrwWyTxzv7Ull6fBrbGzk3//936moqMh1KYfskxN/+MMf0HWdO+64o193YK/Xy2233QZkn0ZPJBIjvt/SgRkqzq2trbz66qtA9vvv8/lyabquc8MNNwDQ1NTERx99NLI7LR2woeK8p1gsxk033YTL5eLiiy8ewT2UDoa9xVnWwT4/hoqzrINJI+mFF16gqamJBQsWDDimHHvssXzjG98gnU7zxBNPHKY9lA7Uc889Rzqd5sEHH+SWW27pdwzZ03CvB373u99hWRZXXHEFRx11VL9tXnzxxUyePJmGhgZeeuml3PK3336b1atXM378eL773e/2y1NXV8dVV10FwKOPPjr8Dy8N6U9/+hOxWIyZM2dyySWX9EurqKjg0ksvBeBvf/sbIMvGWPTss88CcMkllzBjxox+aZMnT+af//mfgexQywANDQ28+OKL+P1+fvSjH/UborCoqIgf/OAHwMC4/fa3vwXg+uuvp6ysLLdcURR+8IMfUFhYyAcffMD777+fS5PnqtFn2bJl/OlPf+LUU09l0qRJA9LlMUTal7FWRmRD1wjYuHEjGzdupKamJtc9sK/Jkydz9dVXs2DBgn7Ln3/+eQC+8Y1vDMijKArXXnstZ511Fnl5eYdmx6UDMpw4RyIRIBvPweaAKCsrQ1WzX9Ourq5DtOfSwXDnnXcSj8e54YYbcLlcueVvvPEGsViMo48+mvLy8gH5pkyZQnV1NdFolDfffHMkd1kahqHibJom9957L7feeisTJkwYkC8QCOSGLG1tbR2x/ZWGZ6g47+kXv/gFjY2NXH/99UOOcS+NXnuLs6yDfX4MFWdZB5NGUu9N7aHmJegdfubll18esX2SPpuZM2eydOlSTjnllH2uO5zrASEEr7zyCsCQwxOdeuqpwO7yBbvL0KmnnjpgGLO+21q1apU8th0CCxYs4M477+Rf//VfB03vna+3paUFkGVjLLrmmmt46KGH+Kd/+qdB03vnvIlGowC5WC9cuHDQ65KFCxfidDqpr69nw4YNAHR2dvLOO+9gGAZf/OIXB+QxTZOTTz4Z6F9G5LlqdAmHw9xyyy3k5eVx8803D7qOPIZI+zLWyohs6BoBvZNj9477vz8ikQjr16/HNE2OOeaYQ7Vr0kE0nDhXV1ejaRpCCBoaGgakt7a2Yts2mqYNOcmfdPitWLGC1157jblz5w44Caxbtw6AadOmDZm/N239+vWHbielz2xvcc7Pz+erX/0q3/rWtwbNm0gk6O7uzq0rjV57i3Nfb7/9Nv/5n//J3Llz+eY3vzmCeygdDHuLs6yDfX7sLc6yDiaNpN463tSpUwdN760LhkIhGhsbR2y/pOG74IILqKqq2q91h3M9sH37dsLhMB6PZ8hj0PTp0/vl2Z/3Ki8vp6CgANu2czfFpYNn2rRpnHPOOYM++Ark5tjpvR6QZWPsmT59Ol/+8pf79bLqq7dO0vvw5L7iZppmrqdPb7w3bNiAEIK6urohH9ob7B6EPFeNLnfffTetra3ccMMNlJaWDrqOPIZI+zLWyoh+SLb6ORIOh3n11VfZsmULtm1TXV3NokWLhjzIDGbTpk1A9smM+vp6HnroId566y1CoRAlJSUsWrSIq666qt/TpJs3b0YIQXV1NZZl8dvf/pbnn3+ehoYGTNPk6KOP5rLLLhuyAiUdmMMV596b40uXLuXXv/419957b64ruhCC3/zmNwB89atfxe/3H8RPPPYcjBgPRgiRG7LyuuuuG5DeWwEcqiIL5J6q2LZt22faF+nwxXlfli5dSjqdpry8nJkzZ36mfZEOf5zj8Tg33XQTTqeTu+66a9CnlaTP7nDFWdbBRtbhirOsg0kjJZVK5XpzD/YkLYDL5SIQCBAKhaivr9/vBhTpyDCc64Hem91DlZm+22tqaiKdTmMYRi7fvt6rs7OT+vp6jj/++P3/INJnIoTgv//7v4HdPWZk2ZD6eu2113jqqacwTZPLL78c2P8ysnbt2txQy/tTRvYsV/JcNbosX76c5557jgULFnD22WcPuZ48hoxd+3sNNdbKiGzo2otNmzaxaNGiXJfhXoZhcMUVV+TG7t+X9vZ2AHbs2MHXvvY1SkpKOOmkk7AsixUrVvCf//mfvPLKK/zhD3/InSja2toAcLvdXHbZZaxdu5aTTjqJ2bNns3btWt544w3efPNNbr/99kGH1ZH23+GMM8Dtt99OIpHgr3/9K2vXrmU9byd6AAAYz0lEQVTu3LkoisL777/P5s2bOe2003JjpkrDc7BiPJhXX32V9evXc8IJJzBr1qwB6b1DI3k8niG34Xa7AQbsn3RgDmec92bz5s3cd999APy///f/9jqHg7RvoyHO9913H9u3b+dHP/oR48aNG/b7SUM7nHGWdbCRc7i/z7IOJo2E3rog7Ls+GAqFZH3wc2g41wMHkqc3XyAQyOWX1x6jzyOPPMKHH35IIBDINWLIsjG2tba28tvf/pZoNMrHH3/M+vXrmTZtGnfccQfBYBA49GVkzzz7k0+eqw6tSCTCrbfeitfr5c4779znuiCPIWPNgVxDjbUyIhu69iISiXDJJZdw1llnUVFRQUdHB0899RS/+93veOihh3C5XLkKyt7EYjEgO7H5v/zLv/Dd7343N+Z/JBLhoosuYu3atdx22225Cdl683z00UdMnz6dV155JTe/C8B//Md/cN9993HnnXeycOFCKioqDvbHHzMOZ5wBnE4nZ599Nk1NTaxZs6bfhOfTp09nyZIle50jRtq3gxXjwTz22GMAXHTRRYOm907muLfGDdM0+60rDc/hjPNQPvnkEy6//HLC4TDnnHPOgEl9pQN3uOP87rvv8vTTT3PsscdywQUXDOt9pH07nHGWdbCRc7i/z7IOJo2EZDKZe70/9cF4PH7I90kaWcO5HjiQPIPl65s2VD5Z1kbOY489xv33349hGPzqV7/K9RSWZWNs6+zs5Mknn8z9XlVVxYknnkhRUVFu2YHEuzduwylX8lw1etxzzz00Nzfz4x//eK89akAeQ8aqA7mGGmtlRM7RNYhp06bx3//937zwwgtcd9111NbWYpom5eXlfP/73+eaa64B4De/+c1+Baa3sWP8+PFcffXVud8BvF4vN9xwA5CdIK65uRmg39Apt9xyS78bLACXXnoptbW1pNNpli5d+tk/9Bg0GuIM8Mtf/pLLLruMWCzGY489xurVq/nwww/5/e9/j2EYXHPNNdx6660H86OPGQc7xnvatGkT7777LuXl5SxcuHDQdXpvkKXT6SG3k0qlgOwNN+nAjYY4D+btt9/mW9/6Fq2trSxZsoTbb7/9gN9b2m00xDmRSPCjH/0I0zS5++67+x3npYNjNMRZ1sEOvdEQZ5B1MGlk9K3f7U99UDaufv4M53rgQPL0zdf7f9+0ofLJsnboCSG45557+NnPfoZhGNx///3Mmzcvly7Lxtg2ZcoUPvnkEz788EP+9Kc/ceqpp/LYY4/xla98hXfffRc4sHj3rjucciXPVaPDm2++ybPPPsv8+fM599xz97m+PIaMLcO5hhprZUTeoRmE1+tlxowZVFdXD5p+ySWX4HQ6iUajfPDBB/u1PYBjjjlm0Hk8Zs+ejcPhAHZP4tabR9d1jj766AF5NE3LjWX58ccf78enkvY0GuK8evVqHn74YbxeL0888QQnnngiTqcTl8vF3LlzeeyxxyguLuaPf/wj77zzznA/6ph1sGO8pz/96U8AfOUrXxlyjp7eLrt765bb2y3Y5/Md8D5IoyPOe/rLX/7CJZdcQjgc5sILL+QXv/gFui47UX8WoyHO999/P/X19Xzve9+jrq7ugN9D2rfREGdZBzv0RkOcZR1MGil9h2+R9cGxaTjXA73nor3l6U1TFCX3HvuTr/e9eteVDo1kMsn3vvc9Hn/8cfLy8njkkUc49dRT+60jy4YE2Ru+U6ZM4Yc//CE33ngjsViMH/zgB9i2fUBlpDduBxLr3nIlz1WHXyQS4eabb8bj8exzyMJe8hgytgznGmqslRHZ0DUMpmlSXFwMQEdHxz7X752/Y6hhyRRFyXVN7h0up7fQWpY1ZEto7z705pEOrpGI84svvogQguOPP75f9/RebrebY489FsjONSEdXAca4z29/PLLAJx88slDrtN7M3zHjh1DrtPU1NRvXengGok49/Xss89y/fXXY9s2t956Kz/60Y/2u4FMGr5DHef29nZ+//vfo+s6H3zwAddee22/n6effhrI9uTrXSYdfCPxfZZ1sMNvJOIs62DSSDFNk8rKSmB3nW9P4XCY7u5uQNYHP4+Gcz1QW1u7zzy9E8xXV1fnhhfan3zy2uPQS6VSXHnllbz00ktUVVXxzDPP9OvJ1UuWDWlPZ511FpCNxaZNmw5ZGdkzjzxXHX7PPPMMO3bsoKCggHvvvXfA9eamTZsA+Ld/+7fc9ac8hkh9DXYNNdbKiGzoGoIQAiHEkGmhUAggN7by3kyfPh2Abdu2DZpu2zY7d+4EoKCgAICamhp8Ph9CiCHztba2ApCfn7/PfZAGd7jj3NvKvbcum70HDDmZ4/AczBj31dDQQH19PU6nk2OOOWbI9XrLxZo1a4ZcZ/Xq1QCD9hyQ9s/hjnOvV155hdtuuw3TNPn1r3/Nt771rQN6P2nvDmecE4kEtm2TyWT429/+xksvvdTv56OPPgKyFbfeZdLwHO7vs6yDjYzDHWdZB5NG0r7qgx9++CGQbUQvKysbsf2SRsZwrgcqKyvJz88nFovx6aef7lee/XmvLVu20N3djWEYTJky5QA/ibQ/bNvm+9//PitXrmTKlCk888wzTJgwYdB1ZdkYW6LRKHfffTfXXXfdkA/yKIqSe0gykUjsM26xWCzXANIb7ylTpqDrOlu2bMn1ntjTcMqIPFcdWr1DzTU0NAy41nzppZfYtWsXAO+88w4vvfQSa9eulceQMehAr6HGWhmRDV2DuOiiizj66KN54YUXBk1fvnw54XAYXdeZOXPmPre3YMEC3G4369atyw1Z19c//vEP0uk0hmEwY8YMIDsszpe//GUg2ztgT5lMhlWrVgHknjaVDsxoiHNVVRWQHcpwqANV70Glt8eYtP8Odoz76q3kTZgwYa8TLZ5wwgnk5eWxbt06tm/fPiB91apVtLW1UVBQMOhTftK+jYY4Q/a7et111wHwwAMP5I7h0sFxuONcVVXFJ598MuTPT3/6UwC+/vWv55ZJB+5wxxlkHWwkjIY4yzqYNJIWL14MMGSZ/8tf/gLAGWecMWL7JI2c4V4PnHbaaQD83//934A8tm3nln/lK1/JLe8tay+99BK2bQ/I11vWTj755H5DlUkHz4MPPsiLL77IhAkTePzxx3NP1w9Glo2xxe128/zzz/PXv/51yN7i69atQwiBoihUV1fz5S9/GVVVWb58+aCNVi+88AKZTIapU6fmekj4fD7mz5+PZVmDPnwXiUR4/fXXgcHLiDxXHR7XXHPNXq83586dC8CTTz7JJ598wj333COPIWPMcK6hxloZkQ1dgzjuuONIpVLcc889A57kbW1t5a677gLg7LPP7veU6csvv8zixYu5/PLL++XxeDxcfPHFANxxxx2Ew+Fc2s6dO3M3x84880zy8vJyaVdccQWGYfBf//VfvP3227nlQggeeOABGhoa8Pv9nHnmmQfng48xoyHOp59+OoZhsGXLFp544okB+7h06VI2bNiAYRicfvrpn/1DjzEHO8Z99T411ds1dyimaXLRRRdh2za33HJLv6EtQ6FQbh+uvPJKOYfTMI2GOAPcfPPNJJNJrrrqKr74xS8e+AeR9mq0xFk6tEZLnGUd7NAaDXGWdTBpJJ1yyinU1dXxzjvv8Mc//rFf2rJly/jzn/+M2+3OXUtIny/DvR645JJLMAyDxx9/nHXr1vXb5q9+9SsaGxuZNm0aX/jCF3LLZ86cybx582hsbOSBBx7ol2f9+vU8/vjjqKrKd77znUPxUce8zZs38/DDD2MYBg8++OA+e37LsjG2KIrCueeeC8B999034MG4tra2XMwXLlxIQUEBpaWlfP3rXycWi3HHHXdgWVZu/aamJn75y18CcPXVV/fb1pVXXgnAL3/5y9wQY5AdmvvHP/4x0WiUL33pS0yePDmXJs9VRx55DBlbhnMNNdbKiLyrOojLL7+cVatW8c4777BkyRJOPvlkSkpKaGtrY8WKFcTjcebOncsNN9zQL184HGbr1q2DbvOqq65i7dq1LF++nMWLF7Nw4UKEELz++uvs2rWLKVOmcOONN/bLM378eH7yk59w0003cfHFF3PSSSdRVlbGmjVrWLduHQ6Hg1/84hf9Gsek/Tca4lxdXc1tt93G7bffzk9/+lP+93//N9fba8OGDaxevRpd17n99ttz4yVL++9QxLhXS0sLsHsYyn3txwcffMCKFStYvHgxJ5xwApZlsXz5cjo7OznttNO44IILhv9Bx7jREOdVq1blJvvse4EymJNOOomFCxfuz0eT+hgNcZYOvdESZ1kHO7RGQ5xlHUwaSYZhcP/993PxxRdz66238vzzzzNx4kQaGxt56623UFWVn/70p3IoqCNEKBTioYceGrAM4Omnn+aVV17JLT///POpqakZ1vVATU0Nd9xxBzfffDPf+MY3WLhwIUVFRaxdu5Z169ZRVFTEz3/+c1S1//PLd999NxdccMH/397dx2RV93Ec/wA3IM+4fMABosFstJhDM7JYFkrOSixIbfGglfhEOYds7orZyqy/dMsVS4iF0hgW8ZBJtqiRPIigZYNmkKEQKKmQqDyFjuv+457XfSNwhwpenHi//gHO7/c753t2Dpzr7MP5HaWmpqqsrExBQUFqa2vT4cOH1dvbK5PJZJleCCMrLS1N169fl6+vr7Kzs/9v34SEBHl6enJujDMbN27Uzz//rNLSUkVGRiokJEQ+Pj66ePGiKisr1dnZKW9vb7311luWMVu3blVtba0OHDigmpoaPfTQQ5ansjo7OxUXFzdgNpF58+bptdde0/vvv6+IiAgtWLBAbm5uOnbsmE6fPq2ZM2dq+/bt/cZwrTIm/oaMH7d7DzWezhGCrkE4Ojpq7969+uyzz3Tw4EHLxcbNzU2zZ8/WsmXLtGzZMtnZ2Q17nfb29kpNTVV2drby8/P19ddfq6+vT9OnT1dcXJxWr14tZ2fnAeOee+453XvvvUpPT9ePP/6osrIyTZw4UREREVq3bp0CAgJGctfHlbFynJcvX66goCBlZmaqqqpKBQUFMpvNmjp1qiIjIxUXF8f8trdpNI7xDTee2Bvs9/ZmDg4O2rNnj/bv36/8/HzLY8azZs1SYmKioqKiBlwcMHxj4Tj/78s2b/7vt5u5u7sTdN2GsXCcMfrG0nHmM9joGSvHmc9guJvuv/9+ffHFF/rwww9VWlqqn376Se7u7goPD9f69es51wyko6NDmZmZg7bdPE3YokWL5Ofnd9v3A1FRUfL399dHH32kH374QR0dHfLy8lJsbKzWr1+vSZMmDRjj7e2tvLw8paWl6bvvvlNubq5cXFz0yCOP6KWXXmK69FF0456gqalpyHPkhlWrVsnT05NzY5xxcHBQWlqaDhw4oIKCAp08eVKVlZVydHTUjBkzFBYWplWrVsnNzc0yxsPDQ1lZWcr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      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 130,
       "width": 861
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.traceplot(trace3);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "      <th>n_eff</th>\n",
       "      <th>Rhat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>beta</th>\n",
       "      <td>5.676737e-156</td>\n",
       "      <td>1.203023e-158</td>\n",
       "      <td>3.003518e-160</td>\n",
       "      <td>5.664563e-156</td>\n",
       "      <td>5.700435e-156</td>\n",
       "      <td>1452.464918</td>\n",
       "      <td>1.000297</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               mean             sd       mc_error        hpd_2.5  \\\n",
       "beta  5.676737e-156  1.203023e-158  3.003518e-160  5.664563e-156   \n",
       "\n",
       "           hpd_97.5        n_eff      Rhat  \n",
       "beta  5.700435e-156  1452.464918  1.000297  "
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.summary(trace3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10000/10000 [00:03<00:00, 2982.33it/s]\n"
     ]
    }
   ],
   "source": [
    "# change to trace3 if you want\n",
    "preds2 = pm.sample_ppc(trace3, samples=10000, model=model2)\n",
    "y2 = np.reshape(np.mean(preds2['returns'], axis=0), [-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 277,
       "width": 372
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2)\n",
    "\n",
    "ax1.hist(y2, ec='white')\n",
    "ax1.set_title('Cauchy distribution returns')\n",
    "ax2.hist(returns, ec='white')\n",
    "ax2.set_title('Real returns')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "model1.name = 'Gaussian model'\n",
    "model2.name = 'Cauchy model'\n",
    "df_LOO = pm.compare({model1:trace, model2:trace2}, ic='LOO')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LOO comparison table: \n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>LOO</th>\n",
       "      <th>pLOO</th>\n",
       "      <th>dLOO</th>\n",
       "      <th>weight</th>\n",
       "      <th>SE</th>\n",
       "      <th>dSE</th>\n",
       "      <th>shape_warn</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Cauchy model</th>\n",
       "      <td>-133738</td>\n",
       "      <td>814.36</td>\n",
       "      <td>0</td>\n",
       "      <td>0.73</td>\n",
       "      <td>8074.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Gaussian model</th>\n",
       "      <td>-6110.4</td>\n",
       "      <td>5.8</td>\n",
       "      <td>127628</td>\n",
       "      <td>0.27</td>\n",
       "      <td>105.21</td>\n",
       "      <td>8022.75</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   LOO    pLOO    dLOO weight       SE      dSE shape_warn\n",
       "Cauchy model   -133738  814.36       0   0.73  8074.07        0          0\n",
       "Gaussian model -6110.4     5.8  127628   0.27   105.21  8022.75          0"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(\"LOO comparison table: \")\n",
    "df_LOO"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
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    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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  }
 },
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